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Finding the Fourth Proportional to 998.49, 1,377.92 and 579.09

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Solution

The fourth proportional to 998.49, 1,377.92 and 579.09 is: 799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.49 : 1,377.92 = 579.09 : x
  2. Step 2: Convert to fraction form
    998.49/1,377.92 = 579.09/x
  3. Step 3: Cross multiply
    998.49x = 1,377.92 × 579.09
  4. Step 4: Simplify right side
    998.49x = 797,934.80
  5. Step 5: Solve for x
    x = 797,934.80/998.49
  6. Step 6: Final answer
    x = 799.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.