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Finding the Fourth Proportional to 447.34, 674.41 and 416.02

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Solution

The fourth proportional to 447.34, 674.41 and 416.02 is: 627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.34 : 674.41 = 416.02 : x
  2. Step 2: Convert to fraction form
    447.34/674.41 = 416.02/x
  3. Step 3: Cross multiply
    447.34x = 674.41 × 416.02
  4. Step 4: Simplify right side
    447.34x = 280,568.05
  5. Step 5: Solve for x
    x = 280,568.05/447.34
  6. Step 6: Final answer
    x = 627.19

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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.