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Finding the Fourth Proportional to 766.92, 1,143.24 and 758.28

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Solution

The fourth proportional to 766.92, 1,143.24 and 758.28 is: 1,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.92 : 1,143.24 = 758.28 : x
  2. Step 2: Convert to fraction form
    766.92/1,143.24 = 758.28/x
  3. Step 3: Cross multiply
    766.92x = 1,143.24 × 758.28
  4. Step 4: Simplify right side
    766.92x = 866,896.03
  5. Step 5: Solve for x
    x = 866,896.03/766.92
  6. Step 6: Final answer
    x = 1,130.36

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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.