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Finding the Fourth Proportional to 766.90, 1,149.13 and 746.65

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Solution

The fourth proportional to 766.90, 1,149.13 and 746.65 is: 1,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.90 : 1,149.13 = 746.65 : x
  2. Step 2: Convert to fraction form
    766.90/1,149.13 = 746.65/x
  3. Step 3: Cross multiply
    766.90x = 1,149.13 × 746.65
  4. Step 4: Simplify right side
    766.90x = 857,997.91
  5. Step 5: Solve for x
    x = 857,997.91/766.90
  6. Step 6: Final answer
    x = 1,118.79

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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.