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Finding the Fourth Proportional to 626.74, 939.74 and 261.80

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Solution

The fourth proportional to 626.74, 939.74 and 261.80 is: 392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.74 : 939.74 = 261.80 : x
  2. Step 2: Convert to fraction form
    626.74/939.74 = 261.80/x
  3. Step 3: Cross multiply
    626.74x = 939.74 × 261.80
  4. Step 4: Simplify right side
    626.74x = 246,023.93
  5. Step 5: Solve for x
    x = 246,023.93/626.74
  6. Step 6: Final answer
    x = 392.55

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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.