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Finding the Fourth Proportional to 490.44, 676.22 and 396.90

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Solution

The fourth proportional to 490.44, 676.22 and 396.90 is: 547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 676.22 = 396.90 : x
  2. Step 2: Convert to fraction form
    490.44/676.22 = 396.90/x
  3. Step 3: Cross multiply
    490.44x = 676.22 × 396.90
  4. Step 4: Simplify right side
    490.44x = 268,391.72
  5. Step 5: Solve for x
    x = 268,391.72/490.44
  6. Step 6: Final answer
    x = 547.25

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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.