The study aims to explore the relationship between horizontal and vertical furcation involvement (FI) in teeth with or without a single unit fixed prosthesis (FP). Adult subjects presenting to the periodontics department requiring cone beam computed tomography (CBCT) analysis were recruited for this study. 79 patients, with a total of 200 teeth, were split into two groups based on the presence or absence of FP within the same patient. Our analysis considered patient-level factors like smoking, diabetes, and periodontal severity and tooth-level factors including root trunk length (RTL), probing depth (PD), periodontal supracrestal tissue height (STH), supracrestal tissue attachment (STH-PD), interproximal bone distance (IPBD) to the cementoenamel junction (CEJ) (control) or crown margin (Test), and the distance from the furcation to the CEJ (control) or crown margin (Test). Subsequently, we developed a predictive model for FI. The presence of a prosthesis had a significant association with FI, with an odds ratio (OR) of 12.8 (p < 0.001). Other factors significantly correlated with FI were periodontitis (OR = 10.9; p = 0.006), buccal furcation site (OR = 5.70; p < 0.001), and PD (OR = 1.90; p = 0.027). FP placement increased IPBD by 1.08mm (p < 0.001). The predictive model built for FI demonstrated a sensitivity of 92.9% and a specificity of 66.7%. Fixed prosthesis significantly influenced FI only in periodontitis patients. Factors such as periodontitis Stage, probing depth, and buccal site contribute to FI. The high sensitivity of the predictive model highlights the importance of considering these correlations during treatment planning. Comprehending FI factors is vital for devising customised treatment plans to halt disease progression and enhance outcomes of periodontal regenerative therapies.