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Finding the Fourth Proportional to 626.44, 863.85 and 377.71

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Solution

The fourth proportional to 626.44, 863.85 and 377.71 is: 520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.44 : 863.85 = 377.71 : x
  2. Step 2: Convert to fraction form
    626.44/863.85 = 377.71/x
  3. Step 3: Cross multiply
    626.44x = 863.85 × 377.71
  4. Step 4: Simplify right side
    626.44x = 326,284.78
  5. Step 5: Solve for x
    x = 326,284.78/626.44
  6. Step 6: Final answer
    x = 520.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.