Very thin Fe films have been grown by molecular beam epitaxy on Ge(001), GaAs(001) and ZnSe(001) substrates, under identical preparation conditions. The electronic and magnetic properties of such interfaces have been studied, as a function of the Fe thickness, by means of spin resolved inverse photoemission. From the spin dependence of Fe empty states, we observe the onset of room temperature ferromagnetism to occur at a Fe thickness as low as three monolayers (ML) for Fe/Ge, while 5 and 8 ML have been found for Fe/GaAs and Fe/ZnSe, respectively.