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Finding the Fourth Proportional to 868.20, 1,198.13 and 536.78

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Solution

The fourth proportional to 868.20, 1,198.13 and 536.78 is: 740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.20 : 1,198.13 = 536.78 : x
  2. Step 2: Convert to fraction form
    868.20/1,198.13 = 536.78/x
  3. Step 3: Cross multiply
    868.20x = 1,198.13 × 536.78
  4. Step 4: Simplify right side
    868.20x = 643,123.55
  5. Step 5: Solve for x
    x = 643,123.55/868.20
  6. Step 6: Final answer
    x = 740.76

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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.