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Finding the Fourth Proportional to 996.81, 1,376.09 and 682.17

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Solution

The fourth proportional to 996.81, 1,376.09 and 682.17 is: 941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.81 : 1,376.09 = 682.17 : x
  2. Step 2: Convert to fraction form
    996.81/1,376.09 = 682.17/x
  3. Step 3: Cross multiply
    996.81x = 1,376.09 × 682.17
  4. Step 4: Simplify right side
    996.81x = 938,729.04
  5. Step 5: Solve for x
    x = 938,729.04/996.81
  6. Step 6: Final answer
    x = 941.74

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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.