Spin splitting of conduction-band energy levels in a modulation-doped InP/In0.77Ga0.23As/InP quantum well has been studied by Shubnikov-de Haas oscillations. By analyzing the characteristic beating pattern of the oscillations the coupling constant alpha for spin-orbit interaction was determined. Biasing a gate on top of a Hall bat was used to modify the strength of the spin-orbit coupling. The measured spin-orbit coupling parameter alpha is quantitatively explained by utilizing a refined envelope-function-approximation theory for heterostructures.