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Finding the Fourth Proportional to 1,638.87, 2,456.15 and 664.44

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Solution

The fourth proportional to 1,638.87, 2,456.15 and 664.44 is: 995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.87 : 2,456.15 = 664.44 : x
  2. Step 2: Convert to fraction form
    1,638.87/2,456.15 = 664.44/x
  3. Step 3: Cross multiply
    1,638.87x = 2,456.15 × 664.44
  4. Step 4: Simplify right side
    1,638.87x = 1,631,960.98
  5. Step 5: Solve for x
    x = 1,631,960.98/1,638.87
  6. Step 6: Final answer
    x = 995.78

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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.