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Finding the Fourth Proportional to 766.38, 1,149.71 and 280.11

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Solution

The fourth proportional to 766.38, 1,149.71 and 280.11 is: 420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.38 : 1,149.71 = 280.11 : x
  2. Step 2: Convert to fraction form
    766.38/1,149.71 = 280.11/x
  3. Step 3: Cross multiply
    766.38x = 1,149.71 × 280.11
  4. Step 4: Simplify right side
    766.38x = 322,045.27
  5. Step 5: Solve for x
    x = 322,045.27/766.38
  6. Step 6: Final answer
    x = 420.22

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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.