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Finding the Fourth Proportional to 489.43, 675 and 349.29

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Solution

The fourth proportional to 489.43, 675 and 349.29 is: 481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.43 : 675 = 349.29 : x
  2. Step 2: Convert to fraction form
    489.43/675 = 349.29/x
  3. Step 3: Cross multiply
    489.43x = 675 × 349.29
  4. Step 4: Simplify right side
    489.43x = 235,770.75
  5. Step 5: Solve for x
    x = 235,770.75/489.43
  6. Step 6: Final answer
    x = 481.72

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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.