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Finding the Fourth Proportional to 724.47, 1,084.01 and 432.13

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Solution

The fourth proportional to 724.47, 1,084.01 and 432.13 is: 646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.47 : 1,084.01 = 432.13 : x
  2. Step 2: Convert to fraction form
    724.47/1,084.01 = 432.13/x
  3. Step 3: Cross multiply
    724.47x = 1,084.01 × 432.13
  4. Step 4: Simplify right side
    724.47x = 468,431.08
  5. Step 5: Solve for x
    x = 468,431.08/724.47
  6. Step 6: Final answer
    x = 646.59

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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.