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Finding the Fourth Proportional to 490.12, 676.62 and 324.72

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Solution

The fourth proportional to 490.12, 676.62 and 324.72 is: 448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.12 : 676.62 = 324.72 : x
  2. Step 2: Convert to fraction form
    490.12/676.62 = 324.72/x
  3. Step 3: Cross multiply
    490.12x = 676.62 × 324.72
  4. Step 4: Simplify right side
    490.12x = 219,712.05
  5. Step 5: Solve for x
    x = 219,712.05/490.12
  6. Step 6: Final answer
    x = 448.28

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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.