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Finding the Fourth Proportional to 998.11, 1,376.69 and 682.82

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Solution

The fourth proportional to 998.11, 1,376.69 and 682.82 is: 941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.11 : 1,376.69 = 682.82 : x
  2. Step 2: Convert to fraction form
    998.11/1,376.69 = 682.82/x
  3. Step 3: Cross multiply
    998.11x = 1,376.69 × 682.82
  4. Step 4: Simplify right side
    998.11x = 940,031.47
  5. Step 5: Solve for x
    x = 940,031.47/998.11
  6. Step 6: Final answer
    x = 941.81

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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.