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Finding the Fourth Proportional to 492.24, 731.88 and 487.36

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Solution

The fourth proportional to 492.24, 731.88 and 487.36 is: 724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.24 : 731.88 = 487.36 : x
  2. Step 2: Convert to fraction form
    492.24/731.88 = 487.36/x
  3. Step 3: Cross multiply
    492.24x = 731.88 × 487.36
  4. Step 4: Simplify right side
    492.24x = 356,689.04
  5. Step 5: Solve for x
    x = 356,689.04/492.24
  6. Step 6: Final answer
    x = 724.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.