The relative dielectric constant of a series of perovskites such as CaTi${\mathrm{O}}_{3}$, SrTi${\mathrm{O}}_{3}$, BaTi${\mathrm{O}}_{3}$, PbTi${\mathrm{O}}_{3}$, and KTa${\mathrm{O}}_{3}$ has been measured at microwave frequencies over a wide range above the Curie temperature. It was found that a Curie-Weiss law of the form $\ensuremath{\epsilon}={\ensuremath{\epsilon}}_{L}+\frac{C}{(T\ensuremath{-}{T}_{c})}$ is accurately obeyed where ${\ensuremath{\epsilon}}_{L}$ is of the order of 50 and represents the dielectric constant in the limit of infinite temperature, and that ${T}_{c}$ and $C$, the Curie temperature and Curie constant, increase monotonically with increasing cation mass. ${\ensuremath{\epsilon}}_{L}$ consists of contributions from the electronic polarizability, temperature-independent optically active lattice vibrations, and a dominant term stemming from the finite frequency of the temperature-dependent soft mode in the limit of infinite temperature. The limiting frequency of the "soft mode" at high temperatures is estimated.