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Finding the Fourth Proportional to 724.43, 1,000.17 and 476.19

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Solution

The fourth proportional to 724.43, 1,000.17 and 476.19 is: 657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.43 : 1,000.17 = 476.19 : x
  2. Step 2: Convert to fraction form
    724.43/1,000.17 = 476.19/x
  3. Step 3: Cross multiply
    724.43x = 1,000.17 × 476.19
  4. Step 4: Simplify right side
    724.43x = 476,270.95
  5. Step 5: Solve for x
    x = 476,270.95/724.43
  6. Step 6: Final answer
    x = 657.44

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Half scale
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Double scale
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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.