Burn injuries often result in severe hand complications, including joint contractures and nerve damage, sometimes leading to amputation. Despite early treatment, hypertrophic scarring frequently hampers hand function recovery, and the thick raised scar blocks electromyography (EMG) sensing. A promising solution involves motion-mimicking robotic finger prostheses tailored to individual patient requirements. By utilizing the versatility of motion-capturing technology on a sound finger, a robotic finger prosthesis can mimic the movement of a sound finger simultaneously with less latency than EMG-based sensory mechanisms through hypertrophic scars. This case study evaluated the clinical efficacy of a customized three-dimensional printed robotic finger prosthesis in a 24-year-old man who sustained left second finger loss due to electrical burns. Despite undergoing reconstructive surgery, the patient struggled with manual dexterity. Following the adoption of a personalized robotic finger prosthesis with a finger motion-capturing device, significant improvements in grip strength and daily task performance were observed. This innovative approach has advantages such as customization, reduced latency time for finger movements, and affordability from low-cost manufacturing, suggesting its potential for broader adoption among burn-induced amputees.