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Finding the Fourth Proportional to 490.68, 731.20 and 488.24

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Solution

The fourth proportional to 490.68, 731.20 and 488.24 is: 727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.68 : 731.20 = 488.24 : x
  2. Step 2: Convert to fraction form
    490.68/731.20 = 488.24/x
  3. Step 3: Cross multiply
    490.68x = 731.20 × 488.24
  4. Step 4: Simplify right side
    490.68x = 357,001.09
  5. Step 5: Solve for x
    x = 357,001.09/490.68
  6. Step 6: Final answer
    x = 727.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.