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Finding the Fourth Proportional to 1,160.73, 1,732.80 and 1,120.23

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Solution

The fourth proportional to 1,160.73, 1,732.80 and 1,120.23 is: 1,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.73 : 1,732.80 = 1,120.23 : x
  2. Step 2: Convert to fraction form
    1,160.73/1,732.80 = 1,120.23/x
  3. Step 3: Cross multiply
    1,160.73x = 1,732.80 × 1,120.23
  4. Step 4: Simplify right side
    1,160.73x = 1,941,134.54
  5. Step 5: Solve for x
    x = 1,941,134.54/1,160.73
  6. Step 6: Final answer
    x = 1,672.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.