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Finding the Fourth Proportional to 766.90, 1,151.70 and 742.60

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Solution

The fourth proportional to 766.90, 1,151.70 and 742.60 is: 1,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.90 : 1,151.70 = 742.60 : x
  2. Step 2: Convert to fraction form
    766.90/1,151.70 = 742.60/x
  3. Step 3: Cross multiply
    766.90x = 1,151.70 × 742.60
  4. Step 4: Simplify right side
    766.90x = 855,252.42
  5. Step 5: Solve for x
    x = 855,252.42/766.90
  6. Step 6: Final answer
    x = 1,115.21

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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.