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Finding the Fourth Proportional to 2,198.48, 3,297.76 and 717.70

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Solution

The fourth proportional to 2,198.48, 3,297.76 and 717.70 is: 1,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.48 : 3,297.76 = 717.70 : x
  2. Step 2: Convert to fraction form
    2,198.48/3,297.76 = 717.70/x
  3. Step 3: Cross multiply
    2,198.48x = 3,297.76 × 717.70
  4. Step 4: Simplify right side
    2,198.48x = 2,366,802.35
  5. Step 5: Solve for x
    x = 2,366,802.35/2,198.48
  6. Step 6: Final answer
    x = 1,076.56

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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.