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Finding the Fourth Proportional to 868.27, 1,198.23 and 475.29

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Solution

The fourth proportional to 868.27, 1,198.23 and 475.29 is: 655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.27 : 1,198.23 = 475.29 : x
  2. Step 2: Convert to fraction form
    868.27/1,198.23 = 475.29/x
  3. Step 3: Cross multiply
    868.27x = 1,198.23 × 475.29
  4. Step 4: Simplify right side
    868.27x = 569,510.33
  5. Step 5: Solve for x
    x = 569,510.33/868.27
  6. Step 6: Final answer
    x = 655.91

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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.