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Finding the Fourth Proportional to 447.56, 674.03 and 394.04

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Solution

The fourth proportional to 447.56, 674.03 and 394.04 is: 593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.56 : 674.03 = 394.04 : x
  2. Step 2: Convert to fraction form
    447.56/674.03 = 394.04/x
  3. Step 3: Cross multiply
    447.56x = 674.03 × 394.04
  4. Step 4: Simplify right side
    447.56x = 265,594.78
  5. Step 5: Solve for x
    x = 265,594.78/447.56
  6. Step 6: Final answer
    x = 593.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.