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Finding the Fourth Proportional to 447.59, 674.79 and 416.27

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Solution

The fourth proportional to 447.59, 674.79 and 416.27 is: 627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.59 : 674.79 = 416.27 : x
  2. Step 2: Convert to fraction form
    447.59/674.79 = 416.27/x
  3. Step 3: Cross multiply
    447.59x = 674.79 × 416.27
  4. Step 4: Simplify right side
    447.59x = 280,894.83
  5. Step 5: Solve for x
    x = 280,894.83/447.59
  6. Step 6: Final answer
    x = 627.57

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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.