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Finding the Fourth Proportional to 626.88, 940.43 and 261.71

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Solution

The fourth proportional to 626.88, 940.43 and 261.71 is: 392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.88 : 940.43 = 261.71 : x
  2. Step 2: Convert to fraction form
    626.88/940.43 = 261.71/x
  3. Step 3: Cross multiply
    626.88x = 940.43 × 261.71
  4. Step 4: Simplify right side
    626.88x = 246,119.94
  5. Step 5: Solve for x
    x = 246,119.94/626.88
  6. Step 6: Final answer
    x = 392.61

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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.