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Finding the Fourth Proportional to 868.48, 1,301.97 and 820.15

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Solution

The fourth proportional to 868.48, 1,301.97 and 820.15 is: 1,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.48 : 1,301.97 = 820.15 : x
  2. Step 2: Convert to fraction form
    868.48/1,301.97 = 820.15/x
  3. Step 3: Cross multiply
    868.48x = 1,301.97 × 820.15
  4. Step 4: Simplify right side
    868.48x = 1,067,810.70
  5. Step 5: Solve for x
    x = 1,067,810.70/868.48
  6. Step 6: Final answer
    x = 1,229.52

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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.