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Finding the Fourth Proportional to 925.75, 1,275.01 and 861.18

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Solution

The fourth proportional to 925.75, 1,275.01 and 861.18 is: 1,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.75 : 1,275.01 = 861.18 : x
  2. Step 2: Convert to fraction form
    925.75/1,275.01 = 861.18/x
  3. Step 3: Cross multiply
    925.75x = 1,275.01 × 861.18
  4. Step 4: Simplify right side
    925.75x = 1,098,013.11
  5. Step 5: Solve for x
    x = 1,098,013.11/925.75
  6. Step 6: Final answer
    x = 1,186.08

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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.