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Finding the Fourth Proportional to 626.35, 863.83 and 377.61

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Solution

The fourth proportional to 626.35, 863.83 and 377.61 is: 520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.35 : 863.83 = 377.61 : x
  2. Step 2: Convert to fraction form
    626.35/863.83 = 377.61/x
  3. Step 3: Cross multiply
    626.35x = 863.83 × 377.61
  4. Step 4: Simplify right side
    626.35x = 326,193.24
  5. Step 5: Solve for x
    x = 326,193.24/626.35
  6. Step 6: Final answer
    x = 520.78

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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.