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Finding the Fourth Proportional to 1,236.44, 1,843.93 and 1,055

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Solution

The fourth proportional to 1,236.44, 1,843.93 and 1,055 is: 1,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.44 : 1,843.93 = 1,055 : x
  2. Step 2: Convert to fraction form
    1,236.44/1,843.93 = 1,055/x
  3. Step 3: Cross multiply
    1,236.44x = 1,843.93 × 1,055
  4. Step 4: Simplify right side
    1,236.44x = 1,945,346.15
  5. Step 5: Solve for x
    x = 1,945,346.15/1,236.44
  6. Step 6: Final answer
    x = 1,573.34

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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.