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Finding the Fourth Proportional to 766.38, 1,149.63 and 756.90

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Solution

The fourth proportional to 766.38, 1,149.63 and 756.90 is: 1,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.38 : 1,149.63 = 756.90 : x
  2. Step 2: Convert to fraction form
    766.38/1,149.63 = 756.90/x
  3. Step 3: Cross multiply
    766.38x = 1,149.63 × 756.90
  4. Step 4: Simplify right side
    766.38x = 870,154.95
  5. Step 5: Solve for x
    x = 870,154.95/766.38
  6. Step 6: Final answer
    x = 1,135.41

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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.