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Finding the Fourth Proportional to 447.92, 668.60 and 396.08

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Solution

The fourth proportional to 447.92, 668.60 and 396.08 is: 591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.92 : 668.60 = 396.08 : x
  2. Step 2: Convert to fraction form
    447.92/668.60 = 396.08/x
  3. Step 3: Cross multiply
    447.92x = 668.60 × 396.08
  4. Step 4: Simplify right side
    447.92x = 264,819.09
  5. Step 5: Solve for x
    x = 264,819.09/447.92
  6. Step 6: Final answer
    x = 591.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.