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Finding the Fourth Proportional to 486.24, 724.28 and 476.52

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Solution

The fourth proportional to 486.24, 724.28 and 476.52 is: 709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.24 : 724.28 = 476.52 : x
  2. Step 2: Convert to fraction form
    486.24/724.28 = 476.52/x
  3. Step 3: Cross multiply
    486.24x = 724.28 × 476.52
  4. Step 4: Simplify right side
    486.24x = 345,133.91
  5. Step 5: Solve for x
    x = 345,133.91/486.24
  6. Step 6: Final answer
    x = 709.80

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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.