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Finding the Fourth Proportional to 498.43, 687.87 and 324.28

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Solution

The fourth proportional to 498.43, 687.87 and 324.28 is: 447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.43 : 687.87 = 324.28 : x
  2. Step 2: Convert to fraction form
    498.43/687.87 = 324.28/x
  3. Step 3: Cross multiply
    498.43x = 687.87 × 324.28
  4. Step 4: Simplify right side
    498.43x = 223,062.48
  5. Step 5: Solve for x
    x = 223,062.48/498.43
  6. Step 6: Final answer
    x = 447.53

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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.