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Finding the Fourth Proportional to 481.52, 723.30 and 408.54

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Solution

The fourth proportional to 481.52, 723.30 and 408.54 is: 613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.52 : 723.30 = 408.54 : x
  2. Step 2: Convert to fraction form
    481.52/723.30 = 408.54/x
  3. Step 3: Cross multiply
    481.52x = 723.30 × 408.54
  4. Step 4: Simplify right side
    481.52x = 295,496.98
  5. Step 5: Solve for x
    x = 295,496.98/481.52
  6. Step 6: Final answer
    x = 613.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.