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Finding the Fourth Proportional to 733.39, 1,098.47 and 538.73

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Solution

The fourth proportional to 733.39, 1,098.47 and 538.73 is: 806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.39 : 1,098.47 = 538.73 : x
  2. Step 2: Convert to fraction form
    733.39/1,098.47 = 538.73/x
  3. Step 3: Cross multiply
    733.39x = 1,098.47 × 538.73
  4. Step 4: Simplify right side
    733.39x = 591,778.74
  5. Step 5: Solve for x
    x = 591,778.74/733.39
  6. Step 6: Final answer
    x = 806.91

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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.