Given the expression :
[tex]\frac{4}{10}=\frac{1}{x}[/tex]We can solve by cross product :
So,
[tex]\begin{gathered} 4\cdot x=10\cdot1 \\ 4x=10 \\ \\ x=\frac{10}{4} \end{gathered}[/tex]Or we can use : the ratios properties :
[tex]\frac{a}{b}=\frac{c}{d}\rightarrow\frac{b}{a}=\frac{d}{c}[/tex]so,
[tex]\begin{gathered} \frac{4}{10}=\frac{1}{x}\rightarrow\frac{10}{4}=\frac{x}{1} \\ \\ x=\frac{10}{4} \end{gathered}[/tex]