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Finding the Fourth Proportional to 481.68, 667.42 and 475.44

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Solution

The fourth proportional to 481.68, 667.42 and 475.44 is: 658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.68 : 667.42 = 475.44 : x
  2. Step 2: Convert to fraction form
    481.68/667.42 = 475.44/x
  3. Step 3: Cross multiply
    481.68x = 667.42 × 475.44
  4. Step 4: Simplify right side
    481.68x = 317,318.16
  5. Step 5: Solve for x
    x = 317,318.16/481.68
  6. Step 6: Final answer
    x = 658.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.