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Finding the Fourth Proportional to 998.09, 1,377.14 and 599.57

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Solution

The fourth proportional to 998.09, 1,377.14 and 599.57 is: 827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.09 : 1,377.14 = 599.57 : x
  2. Step 2: Convert to fraction form
    998.09/1,377.14 = 599.57/x
  3. Step 3: Cross multiply
    998.09x = 1,377.14 × 599.57
  4. Step 4: Simplify right side
    998.09x = 825,687.11
  5. Step 5: Solve for x
    x = 825,687.11/998.09
  6. Step 6: Final answer
    x = 827.27

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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.