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Finding the Fourth Proportional to 868.46, 1,198.49 and 475.50

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Solution

The fourth proportional to 868.46, 1,198.49 and 475.50 is: 656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.46 : 1,198.49 = 475.50 : x
  2. Step 2: Convert to fraction form
    868.46/1,198.49 = 475.50/x
  3. Step 3: Cross multiply
    868.46x = 1,198.49 × 475.50
  4. Step 4: Simplify right side
    868.46x = 569,879.62
  5. Step 5: Solve for x
    x = 569,879.62/868.46
  6. Step 6: Final answer
    x = 656.20

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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.