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Finding the Fourth Proportional to 881.38, 1,215.39 and 616.06

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Solution

The fourth proportional to 881.38, 1,215.39 and 616.06 is: 849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.38 : 1,215.39 = 616.06 : x
  2. Step 2: Convert to fraction form
    881.38/1,215.39 = 616.06/x
  3. Step 3: Cross multiply
    881.38x = 1,215.39 × 616.06
  4. Step 4: Simplify right side
    881.38x = 748,753.16
  5. Step 5: Solve for x
    x = 748,753.16/881.38
  6. Step 6: Final answer
    x = 849.52

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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.