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Finding the Fourth Proportional to 1,177.80, 1,625.62 and 680.73

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Solution

The fourth proportional to 1,177.80, 1,625.62 and 680.73 is: 939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.80 : 1,625.62 = 680.73 : x
  2. Step 2: Convert to fraction form
    1,177.80/1,625.62 = 680.73/x
  3. Step 3: Cross multiply
    1,177.80x = 1,625.62 × 680.73
  4. Step 4: Simplify right side
    1,177.80x = 1,106,608.30
  5. Step 5: Solve for x
    x = 1,106,608.30/1,177.80
  6. Step 6: Final answer
    x = 939.56

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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.