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Finding the Fourth Proportional to 868.91, 1,199.16 and 475.97

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Solution

The fourth proportional to 868.91, 1,199.16 and 475.97 is: 656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.91 : 1,199.16 = 475.97 : x
  2. Step 2: Convert to fraction form
    868.91/1,199.16 = 475.97/x
  3. Step 3: Cross multiply
    868.91x = 1,199.16 × 475.97
  4. Step 4: Simplify right side
    868.91x = 570,758.19
  5. Step 5: Solve for x
    x = 570,758.19/868.91
  6. Step 6: Final answer
    x = 656.87

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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.