Home / 646.91-970.53-208.16

Finding the Fourth Proportional to 646.91, 970.53 and 208.16

Calculator

Solution

The fourth proportional to 646.91, 970.53 and 208.16 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.91 : 970.53 = 208.16 : x
  2. Step 2: Convert to fraction form
    646.91/970.53 = 208.16/x
  3. Step 3: Cross multiply
    646.91x = 970.53 × 208.16
  4. Step 4: Simplify right side
    646.91x = 202,023.53
  5. Step 5: Solve for x
    x = 202,023.53/646.91
  6. Step 6: Final answer
    x = 312.29

Related Problems

Find fourth proportional to 323.45, 485.26 and 104.08
Half scale
Find fourth proportional to 1,293.82, 1,941.05 and 416.32
Double scale
Find fourth proportional to 647.91, 972.03 and 209.16
Similar ratio
Find fourth proportional to 970.36, 1,455.79 and 312.24
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.