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Finding the Fourth Proportional to 422.06, 636.46 and 416.28

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Solution

The fourth proportional to 422.06, 636.46 and 416.28 is: 627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 636.46 = 416.28 : x
  2. Step 2: Convert to fraction form
    422.06/636.46 = 416.28/x
  3. Step 3: Cross multiply
    422.06x = 636.46 × 416.28
  4. Step 4: Simplify right side
    422.06x = 264,944.53
  5. Step 5: Solve for x
    x = 264,944.53/422.06
  6. Step 6: Final answer
    x = 627.75

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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.