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Finding the Fourth Proportional to 781.25, 1,076.96 and 615.13

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Solution

The fourth proportional to 781.25, 1,076.96 and 615.13 is: 847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.25 : 1,076.96 = 615.13 : x
  2. Step 2: Convert to fraction form
    781.25/1,076.96 = 615.13/x
  3. Step 3: Cross multiply
    781.25x = 1,076.96 × 615.13
  4. Step 4: Simplify right side
    781.25x = 662,469.25
  5. Step 5: Solve for x
    x = 662,469.25/781.25
  6. Step 6: Final answer
    x = 847.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.