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Finding the Fourth Proportional to 481.92, 723.24 and 418.56

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Solution

The fourth proportional to 481.92, 723.24 and 418.56 is: 628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 723.24 = 418.56 : x
  2. Step 2: Convert to fraction form
    481.92/723.24 = 418.56/x
  3. Step 3: Cross multiply
    481.92x = 723.24 × 418.56
  4. Step 4: Simplify right side
    481.92x = 302,719.33
  5. Step 5: Solve for x
    x = 302,719.33/481.92
  6. Step 6: Final answer
    x = 628.15

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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.