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Finding the Fourth Proportional to 1,788.98, 2,682.08 and 748.31

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Solution

The fourth proportional to 1,788.98, 2,682.08 and 748.31 is: 1,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.98 : 2,682.08 = 748.31 : x
  2. Step 2: Convert to fraction form
    1,788.98/2,682.08 = 748.31/x
  3. Step 3: Cross multiply
    1,788.98x = 2,682.08 × 748.31
  4. Step 4: Simplify right side
    1,788.98x = 2,007,023.54
  5. Step 5: Solve for x
    x = 2,007,023.54/1,788.98
  6. Step 6: Final answer
    x = 1,121.88

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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.