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Finding the Fourth Proportional to 627.97, 941.05 and 445.72

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Solution

The fourth proportional to 627.97, 941.05 and 445.72 is: 667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.97 : 941.05 = 445.72 : x
  2. Step 2: Convert to fraction form
    627.97/941.05 = 445.72/x
  3. Step 3: Cross multiply
    627.97x = 941.05 × 445.72
  4. Step 4: Simplify right side
    627.97x = 419,442.58
  5. Step 5: Solve for x
    x = 419,442.58/627.97
  6. Step 6: Final answer
    x = 667.93

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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.