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Finding the Fourth Proportional to 728.64, 1,006.48 and 539.97

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Solution

The fourth proportional to 728.64, 1,006.48 and 539.97 is: 745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.64 : 1,006.48 = 539.97 : x
  2. Step 2: Convert to fraction form
    728.64/1,006.48 = 539.97/x
  3. Step 3: Cross multiply
    728.64x = 1,006.48 × 539.97
  4. Step 4: Simplify right side
    728.64x = 543,463.97
  5. Step 5: Solve for x
    x = 543,463.97/728.64
  6. Step 6: Final answer
    x = 745.86

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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.