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Finding the Fourth Proportional to 638.05, 878.83 and 634.27

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Solution

The fourth proportional to 638.05, 878.83 and 634.27 is: 873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.05 : 878.83 = 634.27 : x
  2. Step 2: Convert to fraction form
    638.05/878.83 = 634.27/x
  3. Step 3: Cross multiply
    638.05x = 878.83 × 634.27
  4. Step 4: Simplify right side
    638.05x = 557,415.50
  5. Step 5: Solve for x
    x = 557,415.50/638.05
  6. Step 6: Final answer
    x = 873.62

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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.