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Finding the Fourth Proportional to 447.48, 674.01 and 408.60

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Solution

The fourth proportional to 447.48, 674.01 and 408.60 is: 615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.48 : 674.01 = 408.60 : x
  2. Step 2: Convert to fraction form
    447.48/674.01 = 408.60/x
  3. Step 3: Cross multiply
    447.48x = 674.01 × 408.60
  4. Step 4: Simplify right side
    447.48x = 275,400.49
  5. Step 5: Solve for x
    x = 275,400.49/447.48
  6. Step 6: Final answer
    x = 615.45

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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.