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Finding the Fourth Proportional to 1,638.57, 2,456.97 and 650.62

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Solution

The fourth proportional to 1,638.57, 2,456.97 and 650.62 is: 975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.57 : 2,456.97 = 650.62 : x
  2. Step 2: Convert to fraction form
    1,638.57/2,456.97 = 650.62/x
  3. Step 3: Cross multiply
    1,638.57x = 2,456.97 × 650.62
  4. Step 4: Simplify right side
    1,638.57x = 1,598,553.82
  5. Step 5: Solve for x
    x = 1,598,553.82/1,638.57
  6. Step 6: Final answer
    x = 975.58

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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.