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Finding the Fourth Proportional to 1,201.49, 1,793.55 and 1,111.31

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Solution

The fourth proportional to 1,201.49, 1,793.55 and 1,111.31 is: 1,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.49 : 1,793.55 = 1,111.31 : x
  2. Step 2: Convert to fraction form
    1,201.49/1,793.55 = 1,111.31/x
  3. Step 3: Cross multiply
    1,201.49x = 1,793.55 × 1,111.31
  4. Step 4: Simplify right side
    1,201.49x = 1,993,190.05
  5. Step 5: Solve for x
    x = 1,993,190.05/1,201.49
  6. Step 6: Final answer
    x = 1,658.93

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Why These Related Problems?

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