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Finding the Fourth Proportional to 998.80, 1,377.93 and 594.95

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Solution

The fourth proportional to 998.80, 1,377.93 and 594.95 is: 820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.80 : 1,377.93 = 594.95 : x
  2. Step 2: Convert to fraction form
    998.80/1,377.93 = 594.95/x
  3. Step 3: Cross multiply
    998.80x = 1,377.93 × 594.95
  4. Step 4: Simplify right side
    998.80x = 819,792.56
  5. Step 5: Solve for x
    x = 819,792.56/998.80
  6. Step 6: Final answer
    x = 820.78

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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.