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Finding the Fourth Proportional to 724.67, 1,084.28 and 431.09

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Solution

The fourth proportional to 724.67, 1,084.28 and 431.09 is: 645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.67 : 1,084.28 = 431.09 : x
  2. Step 2: Convert to fraction form
    724.67/1,084.28 = 431.09/x
  3. Step 3: Cross multiply
    724.67x = 1,084.28 × 431.09
  4. Step 4: Simplify right side
    724.67x = 467,414.69
  5. Step 5: Solve for x
    x = 467,414.69/724.67
  6. Step 6: Final answer
    x = 645.01

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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.