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Finding the Fourth Proportional to 579.42, 868.20 and 449.73

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Solution

The fourth proportional to 579.42, 868.20 and 449.73 is: 673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.42 : 868.20 = 449.73 : x
  2. Step 2: Convert to fraction form
    579.42/868.20 = 449.73/x
  3. Step 3: Cross multiply
    579.42x = 868.20 × 449.73
  4. Step 4: Simplify right side
    579.42x = 390,455.59
  5. Step 5: Solve for x
    x = 390,455.59/579.42
  6. Step 6: Final answer
    x = 673.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.