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Finding the Fourth Proportional to 998.82, 1,377.62 and 733.17

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Solution

The fourth proportional to 998.82, 1,377.62 and 733.17 is: 1,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.82 : 1,377.62 = 733.17 : x
  2. Step 2: Convert to fraction form
    998.82/1,377.62 = 733.17/x
  3. Step 3: Cross multiply
    998.82x = 1,377.62 × 733.17
  4. Step 4: Simplify right side
    998.82x = 1,010,025.99
  5. Step 5: Solve for x
    x = 1,010,025.99/998.82
  6. Step 6: Final answer
    x = 1,011.22

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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.