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Finding the Fourth Proportional to 2,049.82, 3,074.91 and 663.19

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Solution

The fourth proportional to 2,049.82, 3,074.91 and 663.19 is: 994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.82 : 3,074.91 = 663.19 : x
  2. Step 2: Convert to fraction form
    2,049.82/3,074.91 = 663.19/x
  3. Step 3: Cross multiply
    2,049.82x = 3,074.91 × 663.19
  4. Step 4: Simplify right side
    2,049.82x = 2,039,249.56
  5. Step 5: Solve for x
    x = 2,039,249.56/2,049.82
  6. Step 6: Final answer
    x = 994.84

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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.