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Finding the Fourth Proportional to 998.61, 1,494.82 and 801.78

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Solution

The fourth proportional to 998.61, 1,494.82 and 801.78 is: 1,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.61 : 1,494.82 = 801.78 : x
  2. Step 2: Convert to fraction form
    998.61/1,494.82 = 801.78/x
  3. Step 3: Cross multiply
    998.61x = 1,494.82 × 801.78
  4. Step 4: Simplify right side
    998.61x = 1,198,512.18
  5. Step 5: Solve for x
    x = 1,198,512.18/998.61
  6. Step 6: Final answer
    x = 1,200.18

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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.