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Finding the Fourth Proportional to 733.69, 1,098.24 and 458.56

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Solution

The fourth proportional to 733.69, 1,098.24 and 458.56 is: 686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.69 : 1,098.24 = 458.56 : x
  2. Step 2: Convert to fraction form
    733.69/1,098.24 = 458.56/x
  3. Step 3: Cross multiply
    733.69x = 1,098.24 × 458.56
  4. Step 4: Simplify right side
    733.69x = 503,608.93
  5. Step 5: Solve for x
    x = 503,608.93/733.69
  6. Step 6: Final answer
    x = 686.41

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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.