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Finding the Fourth Proportional to 726.79, 1,001.61 and 516.97

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Solution

The fourth proportional to 726.79, 1,001.61 and 516.97 is: 712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.79 : 1,001.61 = 516.97 : x
  2. Step 2: Convert to fraction form
    726.79/1,001.61 = 516.97/x
  3. Step 3: Cross multiply
    726.79x = 1,001.61 × 516.97
  4. Step 4: Simplify right side
    726.79x = 517,802.32
  5. Step 5: Solve for x
    x = 517,802.32/726.79
  6. Step 6: Final answer
    x = 712.45

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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.