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Finding the Fourth Proportional to 490.33, 676.49 and 489.61

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Solution

The fourth proportional to 490.33, 676.49 and 489.61 is: 675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.33 : 676.49 = 489.61 : x
  2. Step 2: Convert to fraction form
    490.33/676.49 = 489.61/x
  3. Step 3: Cross multiply
    490.33x = 676.49 × 489.61
  4. Step 4: Simplify right side
    490.33x = 331,213.88
  5. Step 5: Solve for x
    x = 331,213.88/490.33
  6. Step 6: Final answer
    x = 675.49

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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.