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Finding the Fourth Proportional to 733.96, 1,098.97 and 618.13

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Solution

The fourth proportional to 733.96, 1,098.97 and 618.13 is: 925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.96 : 1,098.97 = 618.13 : x
  2. Step 2: Convert to fraction form
    733.96/1,098.97 = 618.13/x
  3. Step 3: Cross multiply
    733.96x = 1,098.97 × 618.13
  4. Step 4: Simplify right side
    733.96x = 679,306.15
  5. Step 5: Solve for x
    x = 679,306.15/733.96
  6. Step 6: Final answer
    x = 925.53

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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.