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Finding the Fourth Proportional to 627.82, 940.59 and 261.97

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Solution

The fourth proportional to 627.82, 940.59 and 261.97 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.82 : 940.59 = 261.97 : x
  2. Step 2: Convert to fraction form
    627.82/940.59 = 261.97/x
  3. Step 3: Cross multiply
    627.82x = 940.59 × 261.97
  4. Step 4: Simplify right side
    627.82x = 246,404.01
  5. Step 5: Solve for x
    x = 246,404.01/627.82
  6. Step 6: Final answer
    x = 392.48

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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.