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Finding the Fourth Proportional to 422.62, 631.19 and 419.86

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Solution

The fourth proportional to 422.62, 631.19 and 419.86 is: 627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.62 : 631.19 = 419.86 : x
  2. Step 2: Convert to fraction form
    422.62/631.19 = 419.86/x
  3. Step 3: Cross multiply
    422.62x = 631.19 × 419.86
  4. Step 4: Simplify right side
    422.62x = 265,011.43
  5. Step 5: Solve for x
    x = 265,011.43/422.62
  6. Step 6: Final answer
    x = 627.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.