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Finding the Fourth Proportional to 1,171.76, 1,760.38 and 685.16

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Solution

The fourth proportional to 1,171.76, 1,760.38 and 685.16 is: 1,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.76 : 1,760.38 = 685.16 : x
  2. Step 2: Convert to fraction form
    1,171.76/1,760.38 = 685.16/x
  3. Step 3: Cross multiply
    1,171.76x = 1,760.38 × 685.16
  4. Step 4: Simplify right side
    1,171.76x = 1,206,129.73
  5. Step 5: Solve for x
    x = 1,206,129.73/1,171.76
  6. Step 6: Final answer
    x = 1,029.33

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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.