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Finding the Fourth Proportional to 525.10, 724.63 and 292.22

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Solution

The fourth proportional to 525.10, 724.63 and 292.22 is: 403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.10 : 724.63 = 292.22 : x
  2. Step 2: Convert to fraction form
    525.10/724.63 = 292.22/x
  3. Step 3: Cross multiply
    525.10x = 724.63 × 292.22
  4. Step 4: Simplify right side
    525.10x = 211,752.46
  5. Step 5: Solve for x
    x = 211,752.46/525.10
  6. Step 6: Final answer
    x = 403.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.