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Finding the Fourth Proportional to 627.39, 940.41 and 261.63

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Solution

The fourth proportional to 627.39, 940.41 and 261.63 is: 392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.39 : 940.41 = 261.63 : x
  2. Step 2: Convert to fraction form
    627.39/940.41 = 261.63/x
  3. Step 3: Cross multiply
    627.39x = 940.41 × 261.63
  4. Step 4: Simplify right side
    627.39x = 246,039.47
  5. Step 5: Solve for x
    x = 246,039.47/627.39
  6. Step 6: Final answer
    x = 392.16

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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.