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Finding the Fourth Proportional to 998.18, 1,377.86 and 857.73

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Solution

The fourth proportional to 998.18, 1,377.86 and 857.73 is: 1,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.18 : 1,377.86 = 857.73 : x
  2. Step 2: Convert to fraction form
    998.18/1,377.86 = 857.73/x
  3. Step 3: Cross multiply
    998.18x = 1,377.86 × 857.73
  4. Step 4: Simplify right side
    998.18x = 1,181,827.57
  5. Step 5: Solve for x
    x = 1,181,827.57/998.18
  6. Step 6: Final answer
    x = 1,183.99

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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.