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Finding the Fourth Proportional to 490.20, 676.62 and 324.54

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Solution

The fourth proportional to 490.20, 676.62 and 324.54 is: 447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.20 : 676.62 = 324.54 : x
  2. Step 2: Convert to fraction form
    490.20/676.62 = 324.54/x
  3. Step 3: Cross multiply
    490.20x = 676.62 × 324.54
  4. Step 4: Simplify right side
    490.20x = 219,590.25
  5. Step 5: Solve for x
    x = 219,590.25/490.20
  6. Step 6: Final answer
    x = 447.96

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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.