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Finding the Fourth Proportional to 498.50, 688.11 and 481.10

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Solution

The fourth proportional to 498.50, 688.11 and 481.10 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.50 : 688.11 = 481.10 : x
  2. Step 2: Convert to fraction form
    498.50/688.11 = 481.10/x
  3. Step 3: Cross multiply
    498.50x = 688.11 × 481.10
  4. Step 4: Simplify right side
    498.50x = 331,049.72
  5. Step 5: Solve for x
    x = 331,049.72/498.50
  6. Step 6: Final answer
    x = 664.09

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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.