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Finding the Fourth Proportional to 422.27, 636.77 and 416.49

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Solution

The fourth proportional to 422.27, 636.77 and 416.49 is: 628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.27 : 636.77 = 416.49 : x
  2. Step 2: Convert to fraction form
    422.27/636.77 = 416.49/x
  3. Step 3: Cross multiply
    422.27x = 636.77 × 416.49
  4. Step 4: Simplify right side
    422.27x = 265,206.25
  5. Step 5: Solve for x
    x = 265,206.25/422.27
  6. Step 6: Final answer
    x = 628.06

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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.