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Finding the Fourth Proportional to 725.28, 1,001.31 and 459.78

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Solution

The fourth proportional to 725.28, 1,001.31 and 459.78 is: 634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.28 : 1,001.31 = 459.78 : x
  2. Step 2: Convert to fraction form
    725.28/1,001.31 = 459.78/x
  3. Step 3: Cross multiply
    725.28x = 1,001.31 × 459.78
  4. Step 4: Simplify right side
    725.28x = 460,382.31
  5. Step 5: Solve for x
    x = 460,382.31/725.28
  6. Step 6: Final answer
    x = 634.76

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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.