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Finding the Fourth Proportional to 2,198.93, 3,298.38 and 555.48

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Solution

The fourth proportional to 2,198.93, 3,298.38 and 555.48 is: 833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.93 : 3,298.38 = 555.48 : x
  2. Step 2: Convert to fraction form
    2,198.93/3,298.38 = 555.48/x
  3. Step 3: Cross multiply
    2,198.93x = 3,298.38 × 555.48
  4. Step 4: Simplify right side
    2,198.93x = 1,832,179.57
  5. Step 5: Solve for x
    x = 1,832,179.57/2,198.93
  6. Step 6: Final answer
    x = 833.21

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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.