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Finding the Fourth Proportional to 865.39, 1,295.34 and 453.97

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Solution

The fourth proportional to 865.39, 1,295.34 and 453.97 is: 679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.39 : 1,295.34 = 453.97 : x
  2. Step 2: Convert to fraction form
    865.39/1,295.34 = 453.97/x
  3. Step 3: Cross multiply
    865.39x = 1,295.34 × 453.97
  4. Step 4: Simplify right side
    865.39x = 588,045.50
  5. Step 5: Solve for x
    x = 588,045.50/865.39
  6. Step 6: Final answer
    x = 679.52

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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.