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Finding the Fourth Proportional to 2,198.67, 3,297.71 and 555.11

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Solution

The fourth proportional to 2,198.67, 3,297.71 and 555.11 is: 832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.67 : 3,297.71 = 555.11 : x
  2. Step 2: Convert to fraction form
    2,198.67/3,297.71 = 555.11/x
  3. Step 3: Cross multiply
    2,198.67x = 3,297.71 × 555.11
  4. Step 4: Simplify right side
    2,198.67x = 1,830,591.80
  5. Step 5: Solve for x
    x = 1,830,591.80/2,198.67
  6. Step 6: Final answer
    x = 832.59

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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.