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Finding the Fourth Proportional to 626.79, 940.31 and 261.61

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Solution

The fourth proportional to 626.79, 940.31 and 261.61 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.79 : 940.31 = 261.61 : x
  2. Step 2: Convert to fraction form
    626.79/940.31 = 261.61/x
  3. Step 3: Cross multiply
    626.79x = 940.31 × 261.61
  4. Step 4: Simplify right side
    626.79x = 245,995.15
  5. Step 5: Solve for x
    x = 245,995.15/626.79
  6. Step 6: Final answer
    x = 392.47

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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.