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Finding the Fourth Proportional to 865.25, 1,305.14 and 814.73

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Solution

The fourth proportional to 865.25, 1,305.14 and 814.73 is: 1,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.25 : 1,305.14 = 814.73 : x
  2. Step 2: Convert to fraction form
    865.25/1,305.14 = 814.73/x
  3. Step 3: Cross multiply
    865.25x = 1,305.14 × 814.73
  4. Step 4: Simplify right side
    865.25x = 1,063,336.71
  5. Step 5: Solve for x
    x = 1,063,336.71/865.25
  6. Step 6: Final answer
    x = 1,228.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.