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Finding the Fourth Proportional to 868.71, 1,198.41 and 514.61

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Solution

The fourth proportional to 868.71, 1,198.41 and 514.61 is: 709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.71 : 1,198.41 = 514.61 : x
  2. Step 2: Convert to fraction form
    868.71/1,198.41 = 514.61/x
  3. Step 3: Cross multiply
    868.71x = 1,198.41 × 514.61
  4. Step 4: Simplify right side
    868.71x = 616,707.78
  5. Step 5: Solve for x
    x = 616,707.78/868.71
  6. Step 6: Final answer
    x = 709.91

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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.