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Finding the Fourth Proportional to 996.17, 1,494.25 and 766.53

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Solution

The fourth proportional to 996.17, 1,494.25 and 766.53 is: 1,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.17 : 1,494.25 = 766.53 : x
  2. Step 2: Convert to fraction form
    996.17/1,494.25 = 766.53/x
  3. Step 3: Cross multiply
    996.17x = 1,494.25 × 766.53
  4. Step 4: Simplify right side
    996.17x = 1,145,385.54
  5. Step 5: Solve for x
    x = 1,145,385.54/996.17
  6. Step 6: Final answer
    x = 1,149.80

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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.