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Finding the Fourth Proportional to 766.80, 1,143.54 and 748.17

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Solution

The fourth proportional to 766.80, 1,143.54 and 748.17 is: 1,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.80 : 1,143.54 = 748.17 : x
  2. Step 2: Convert to fraction form
    766.80/1,143.54 = 748.17/x
  3. Step 3: Cross multiply
    766.80x = 1,143.54 × 748.17
  4. Step 4: Simplify right side
    766.80x = 855,562.32
  5. Step 5: Solve for x
    x = 855,562.32/766.80
  6. Step 6: Final answer
    x = 1,115.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.