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Finding the Fourth Proportional to 1,193.96, 1,654.46 and 1,120.88

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Solution

The fourth proportional to 1,193.96, 1,654.46 and 1,120.88 is: 1,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.96 : 1,654.46 = 1,120.88 : x
  2. Step 2: Convert to fraction form
    1,193.96/1,654.46 = 1,120.88/x
  3. Step 3: Cross multiply
    1,193.96x = 1,654.46 × 1,120.88
  4. Step 4: Simplify right side
    1,193.96x = 1,854,451.12
  5. Step 5: Solve for x
    x = 1,854,451.12/1,193.96
  6. Step 6: Final answer
    x = 1,553.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.