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Finding the Fourth Proportional to 1,181.73, 1,628.57 and 849.58

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Solution

The fourth proportional to 1,181.73, 1,628.57 and 849.58 is: 1,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.73 : 1,628.57 = 849.58 : x
  2. Step 2: Convert to fraction form
    1,181.73/1,628.57 = 849.58/x
  3. Step 3: Cross multiply
    1,181.73x = 1,628.57 × 849.58
  4. Step 4: Simplify right side
    1,181.73x = 1,383,600.50
  5. Step 5: Solve for x
    x = 1,383,600.50/1,181.73
  6. Step 6: Final answer
    x = 1,170.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.