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Finding the Fourth Proportional to 961.69, 1,442.88 and 499.78

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Solution

The fourth proportional to 961.69, 1,442.88 and 499.78 is: 749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.69 : 1,442.88 = 499.78 : x
  2. Step 2: Convert to fraction form
    961.69/1,442.88 = 499.78/x
  3. Step 3: Cross multiply
    961.69x = 1,442.88 × 499.78
  4. Step 4: Simplify right side
    961.69x = 721,122.57
  5. Step 5: Solve for x
    x = 721,122.57/961.69
  6. Step 6: Final answer
    x = 749.85

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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.