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Finding the Fourth Proportional to 636.27, 952.78 and 419.19

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Solution

The fourth proportional to 636.27, 952.78 and 419.19 is: 627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.27 : 952.78 = 419.19 : x
  2. Step 2: Convert to fraction form
    636.27/952.78 = 419.19/x
  3. Step 3: Cross multiply
    636.27x = 952.78 × 419.19
  4. Step 4: Simplify right side
    636.27x = 399,390.04
  5. Step 5: Solve for x
    x = 399,390.04/636.27
  6. Step 6: Final answer
    x = 627.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.