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Finding the Fourth Proportional to 728.47, 1,005.31 and 516.17

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Solution

The fourth proportional to 728.47, 1,005.31 and 516.17 is: 712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.47 : 1,005.31 = 516.17 : x
  2. Step 2: Convert to fraction form
    728.47/1,005.31 = 516.17/x
  3. Step 3: Cross multiply
    728.47x = 1,005.31 × 516.17
  4. Step 4: Simplify right side
    728.47x = 518,905.84
  5. Step 5: Solve for x
    x = 518,905.84/728.47
  6. Step 6: Final answer
    x = 712.32

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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.