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Finding the Fourth Proportional to 449.46, 675.22 and 387.96

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Solution

The fourth proportional to 449.46, 675.22 and 387.96 is: 582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.46 : 675.22 = 387.96 : x
  2. Step 2: Convert to fraction form
    449.46/675.22 = 387.96/x
  3. Step 3: Cross multiply
    449.46x = 675.22 × 387.96
  4. Step 4: Simplify right side
    449.46x = 261,958.35
  5. Step 5: Solve for x
    x = 261,958.35/449.46
  6. Step 6: Final answer
    x = 582.83

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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.