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Finding the Fourth Proportional to 865.97, 1,298.96 and 523.25

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Solution

The fourth proportional to 865.97, 1,298.96 and 523.25 is: 784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.97 : 1,298.96 = 523.25 : x
  2. Step 2: Convert to fraction form
    865.97/1,298.96 = 523.25/x
  3. Step 3: Cross multiply
    865.97x = 1,298.96 × 523.25
  4. Step 4: Simplify right side
    865.97x = 679,678.20
  5. Step 5: Solve for x
    x = 679,678.20/865.97
  6. Step 6: Final answer
    x = 784.88

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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.