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Finding the Fourth Proportional to 961.38, 1,442.28 and 808.74

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Solution

The fourth proportional to 961.38, 1,442.28 and 808.74 is: 1,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.38 : 1,442.28 = 808.74 : x
  2. Step 2: Convert to fraction form
    961.38/1,442.28 = 808.74/x
  3. Step 3: Cross multiply
    961.38x = 1,442.28 × 808.74
  4. Step 4: Simplify right side
    961.38x = 1,166,429.53
  5. Step 5: Solve for x
    x = 1,166,429.53/961.38
  6. Step 6: Final answer
    x = 1,213.29

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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.