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Finding the Fourth Proportional to 766.72, 1,147.26 and 725.02

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Solution

The fourth proportional to 766.72, 1,147.26 and 725.02 is: 1,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.72 : 1,147.26 = 725.02 : x
  2. Step 2: Convert to fraction form
    766.72/1,147.26 = 725.02/x
  3. Step 3: Cross multiply
    766.72x = 1,147.26 × 725.02
  4. Step 4: Simplify right side
    766.72x = 831,786.45
  5. Step 5: Solve for x
    x = 831,786.45/766.72
  6. Step 6: Final answer
    x = 1,084.86

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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.