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Finding the Fourth Proportional to 2,049.59, 3,074.84 and 662.97

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Solution

The fourth proportional to 2,049.59, 3,074.84 and 662.97 is: 994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.59 : 3,074.84 = 662.97 : x
  2. Step 2: Convert to fraction form
    2,049.59/3,074.84 = 662.97/x
  3. Step 3: Cross multiply
    2,049.59x = 3,074.84 × 662.97
  4. Step 4: Simplify right side
    2,049.59x = 2,038,526.67
  5. Step 5: Solve for x
    x = 2,038,526.67/2,049.59
  6. Step 6: Final answer
    x = 994.60

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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.