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Finding the Fourth Proportional to 1,203.43, 1,794.36 and 1,181.56

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Solution

The fourth proportional to 1,203.43, 1,794.36 and 1,181.56 is: 1,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.43 : 1,794.36 = 1,181.56 : x
  2. Step 2: Convert to fraction form
    1,203.43/1,794.36 = 1,181.56/x
  3. Step 3: Cross multiply
    1,203.43x = 1,794.36 × 1,181.56
  4. Step 4: Simplify right side
    1,203.43x = 2,120,144.00
  5. Step 5: Solve for x
    x = 2,120,144.00/1,203.43
  6. Step 6: Final answer
    x = 1,761.75

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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.