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Finding the Fourth Proportional to 481.72, 723.36 and 326.54

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Solution

The fourth proportional to 481.72, 723.36 and 326.54 is: 490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.72 : 723.36 = 326.54 : x
  2. Step 2: Convert to fraction form
    481.72/723.36 = 326.54/x
  3. Step 3: Cross multiply
    481.72x = 723.36 × 326.54
  4. Step 4: Simplify right side
    481.72x = 236,200.72
  5. Step 5: Solve for x
    x = 236,200.72/481.72
  6. Step 6: Final answer
    x = 490.33

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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.