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Finding the Fourth Proportional to 489.32, 733.17 and 344.73

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Solution

The fourth proportional to 489.32, 733.17 and 344.73 is: 516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.32 : 733.17 = 344.73 : x
  2. Step 2: Convert to fraction form
    489.32/733.17 = 344.73/x
  3. Step 3: Cross multiply
    489.32x = 733.17 × 344.73
  4. Step 4: Simplify right side
    489.32x = 252,745.69
  5. Step 5: Solve for x
    x = 252,745.69/489.32
  6. Step 6: Final answer
    x = 516.53

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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.