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Finding the Fourth Proportional to 449.92, 676.14 and 439

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Solution

The fourth proportional to 449.92, 676.14 and 439 is: 659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.92 : 676.14 = 439 : x
  2. Step 2: Convert to fraction form
    449.92/676.14 = 439/x
  3. Step 3: Cross multiply
    449.92x = 676.14 × 439
  4. Step 4: Simplify right side
    449.92x = 296,825.46
  5. Step 5: Solve for x
    x = 296,825.46/449.92
  6. Step 6: Final answer
    x = 659.73

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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.