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Finding the Fourth Proportional to 626.24, 863.38 and 478.62

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Solution

The fourth proportional to 626.24, 863.38 and 478.62 is: 659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.24 : 863.38 = 478.62 : x
  2. Step 2: Convert to fraction form
    626.24/863.38 = 478.62/x
  3. Step 3: Cross multiply
    626.24x = 863.38 × 478.62
  4. Step 4: Simplify right side
    626.24x = 413,230.94
  5. Step 5: Solve for x
    x = 413,230.94/626.24
  6. Step 6: Final answer
    x = 659.86

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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.