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Finding the Fourth Proportional to 868.14, 1,198.28 and 606.24

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Solution

The fourth proportional to 868.14, 1,198.28 and 606.24 is: 836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.14 : 1,198.28 = 606.24 : x
  2. Step 2: Convert to fraction form
    868.14/1,198.28 = 606.24/x
  3. Step 3: Cross multiply
    868.14x = 1,198.28 × 606.24
  4. Step 4: Simplify right side
    868.14x = 726,445.27
  5. Step 5: Solve for x
    x = 726,445.27/868.14
  6. Step 6: Final answer
    x = 836.78

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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.