Comment by janAkali

for i in $(objdump -p /path/to/bin | grep NEEDED | awk '{print $2}'); do ldconfig -p | awk -v var="$i" '$1==var{print $0}'; done

edit:

even simpler,

for i in $(objdump -p /path/to/bin | grep NEEDED | awk '{print $2}'); do ldconfig -p | grep $i; done