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Finding the Fourth Proportional to 865.78, 1,195.12 and 534.54

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Solution

The fourth proportional to 865.78, 1,195.12 and 534.54 is: 737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.78 : 1,195.12 = 534.54 : x
  2. Step 2: Convert to fraction form
    865.78/1,195.12 = 534.54/x
  3. Step 3: Cross multiply
    865.78x = 1,195.12 × 534.54
  4. Step 4: Simplify right side
    865.78x = 638,839.44
  5. Step 5: Solve for x
    x = 638,839.44/865.78
  6. Step 6: Final answer
    x = 737.88

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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.