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Finding the Fourth Proportional to 724.38, 1,000.28 and 459.28

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Solution

The fourth proportional to 724.38, 1,000.28 and 459.28 is: 634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 1,000.28 = 459.28 : x
  2. Step 2: Convert to fraction form
    724.38/1,000.28 = 459.28/x
  3. Step 3: Cross multiply
    724.38x = 1,000.28 × 459.28
  4. Step 4: Simplify right side
    724.38x = 459,408.60
  5. Step 5: Solve for x
    x = 459,408.60/724.38
  6. Step 6: Final answer
    x = 634.21

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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.