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Finding the Fourth Proportional to 766.59, 1,142.26 and 729.39

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Solution

The fourth proportional to 766.59, 1,142.26 and 729.39 is: 1,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.59 : 1,142.26 = 729.39 : x
  2. Step 2: Convert to fraction form
    766.59/1,142.26 = 729.39/x
  3. Step 3: Cross multiply
    766.59x = 1,142.26 × 729.39
  4. Step 4: Simplify right side
    766.59x = 833,153.02
  5. Step 5: Solve for x
    x = 833,153.02/766.59
  6. Step 6: Final answer
    x = 1,086.84

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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.