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Finding the Fourth Proportional to 732.59, 1,098.89 and 689.79

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Solution

The fourth proportional to 732.59, 1,098.89 and 689.79 is: 1,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.59 : 1,098.89 = 689.79 : x
  2. Step 2: Convert to fraction form
    732.59/1,098.89 = 689.79/x
  3. Step 3: Cross multiply
    732.59x = 1,098.89 × 689.79
  4. Step 4: Simplify right side
    732.59x = 758,006.59
  5. Step 5: Solve for x
    x = 758,006.59/732.59
  6. Step 6: Final answer
    x = 1,034.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.