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Finding the Fourth Proportional to 961.82, 1,327.17 and 630.20

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Solution

The fourth proportional to 961.82, 1,327.17 and 630.20 is: 869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.82 : 1,327.17 = 630.20 : x
  2. Step 2: Convert to fraction form
    961.82/1,327.17 = 630.20/x
  3. Step 3: Cross multiply
    961.82x = 1,327.17 × 630.20
  4. Step 4: Simplify right side
    961.82x = 836,379.38
  5. Step 5: Solve for x
    x = 836,379.38/961.82
  6. Step 6: Final answer
    x = 869.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.