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Finding the Fourth Proportional to 1,638.06, 2,458.31 and 664.17

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Solution

The fourth proportional to 1,638.06, 2,458.31 and 664.17 is: 996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.06 : 2,458.31 = 664.17 : x
  2. Step 2: Convert to fraction form
    1,638.06/2,458.31 = 664.17/x
  3. Step 3: Cross multiply
    1,638.06x = 2,458.31 × 664.17
  4. Step 4: Simplify right side
    1,638.06x = 1,632,732.43
  5. Step 5: Solve for x
    x = 1,632,732.43/1,638.06
  6. Step 6: Final answer
    x = 996.75

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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.