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Finding the Fourth Proportional to 627.47, 941.48 and 422.81

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Solution

The fourth proportional to 627.47, 941.48 and 422.81 is: 634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.47 : 941.48 = 422.81 : x
  2. Step 2: Convert to fraction form
    627.47/941.48 = 422.81/x
  3. Step 3: Cross multiply
    627.47x = 941.48 × 422.81
  4. Step 4: Simplify right side
    627.47x = 398,065.04
  5. Step 5: Solve for x
    x = 398,065.04/627.47
  6. Step 6: Final answer
    x = 634.40

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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.