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Finding the Fourth Proportional to 986.73, 1,476.45 and 791.14

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Solution

The fourth proportional to 986.73, 1,476.45 and 791.14 is: 1,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.73 : 1,476.45 = 791.14 : x
  2. Step 2: Convert to fraction form
    986.73/1,476.45 = 791.14/x
  3. Step 3: Cross multiply
    986.73x = 1,476.45 × 791.14
  4. Step 4: Simplify right side
    986.73x = 1,168,072.00
  5. Step 5: Solve for x
    x = 1,168,072.00/986.73
  6. Step 6: Final answer
    x = 1,183.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.