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Finding the Fourth Proportional to 868.31, 1,198.65 and 553.99

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Solution

The fourth proportional to 868.31, 1,198.65 and 553.99 is: 764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.31 : 1,198.65 = 553.99 : x
  2. Step 2: Convert to fraction form
    868.31/1,198.65 = 553.99/x
  3. Step 3: Cross multiply
    868.31x = 1,198.65 × 553.99
  4. Step 4: Simplify right side
    868.31x = 664,042.65
  5. Step 5: Solve for x
    x = 664,042.65/868.31
  6. Step 6: Final answer
    x = 764.76

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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.