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Finding the Fourth Proportional to 2,199.44, 3,298.60 and 660.08

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Solution

The fourth proportional to 2,199.44, 3,298.60 and 660.08 is: 989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.44 : 3,298.60 = 660.08 : x
  2. Step 2: Convert to fraction form
    2,199.44/3,298.60 = 660.08/x
  3. Step 3: Cross multiply
    2,199.44x = 3,298.60 × 660.08
  4. Step 4: Simplify right side
    2,199.44x = 2,177,339.89
  5. Step 5: Solve for x
    x = 2,177,339.89/2,199.44
  6. Step 6: Final answer
    x = 989.95

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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.