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Finding the Fourth Proportional to 1,180.73, 1,628.02 and 1,057.79

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Solution

The fourth proportional to 1,180.73, 1,628.02 and 1,057.79 is: 1,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.73 : 1,628.02 = 1,057.79 : x
  2. Step 2: Convert to fraction form
    1,180.73/1,628.02 = 1,057.79/x
  3. Step 3: Cross multiply
    1,180.73x = 1,628.02 × 1,057.79
  4. Step 4: Simplify right side
    1,180.73x = 1,722,103.28
  5. Step 5: Solve for x
    x = 1,722,103.28/1,180.73
  6. Step 6: Final answer
    x = 1,458.51

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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.