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Finding the Fourth Proportional to 996.13, 1,380.96 and 943.47

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Solution

The fourth proportional to 996.13, 1,380.96 and 943.47 is: 1,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.13 : 1,380.96 = 943.47 : x
  2. Step 2: Convert to fraction form
    996.13/1,380.96 = 943.47/x
  3. Step 3: Cross multiply
    996.13x = 1,380.96 × 943.47
  4. Step 4: Simplify right side
    996.13x = 1,302,894.33
  5. Step 5: Solve for x
    x = 1,302,894.33/996.13
  6. Step 6: Final answer
    x = 1,307.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.