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Finding the Fourth Proportional to 868.56, 1,198.98 and 536.88

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Solution

The fourth proportional to 868.56, 1,198.98 and 536.88 is: 741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.56 : 1,198.98 = 536.88 : x
  2. Step 2: Convert to fraction form
    868.56/1,198.98 = 536.88/x
  3. Step 3: Cross multiply
    868.56x = 1,198.98 × 536.88
  4. Step 4: Simplify right side
    868.56x = 643,708.38
  5. Step 5: Solve for x
    x = 643,708.38/868.56
  6. Step 6: Final answer
    x = 741.12

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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.