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Finding the Fourth Proportional to 1,638.11, 2,456.17 and 663.08

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Solution

The fourth proportional to 1,638.11, 2,456.17 and 663.08 is: 994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.11 : 2,456.17 = 663.08 : x
  2. Step 2: Convert to fraction form
    1,638.11/2,456.17 = 663.08/x
  3. Step 3: Cross multiply
    1,638.11x = 2,456.17 × 663.08
  4. Step 4: Simplify right side
    1,638.11x = 1,628,623.27
  5. Step 5: Solve for x
    x = 1,628,623.27/1,638.11
  6. Step 6: Final answer
    x = 994.21

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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.