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Finding the Fourth Proportional to 996.99, 1,374.69 and 682.43

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Solution

The fourth proportional to 996.99, 1,374.69 and 682.43 is: 940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.99 : 1,374.69 = 682.43 : x
  2. Step 2: Convert to fraction form
    996.99/1,374.69 = 682.43/x
  3. Step 3: Cross multiply
    996.99x = 1,374.69 × 682.43
  4. Step 4: Simplify right side
    996.99x = 938,122.82
  5. Step 5: Solve for x
    x = 938,122.82/996.99
  6. Step 6: Final answer
    x = 940.96

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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.