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Finding the Fourth Proportional to 490.38, 671.88 and 484.31

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Solution

The fourth proportional to 490.38, 671.88 and 484.31 is: 663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.38 : 671.88 = 484.31 : x
  2. Step 2: Convert to fraction form
    490.38/671.88 = 484.31/x
  3. Step 3: Cross multiply
    490.38x = 671.88 × 484.31
  4. Step 4: Simplify right side
    490.38x = 325,398.20
  5. Step 5: Solve for x
    x = 325,398.20/490.38
  6. Step 6: Final answer
    x = 663.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.