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Finding the Fourth Proportional to 1,091.73, 1,638.77 and 442.89

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Solution

The fourth proportional to 1,091.73, 1,638.77 and 442.89 is: 664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.73 : 1,638.77 = 442.89 : x
  2. Step 2: Convert to fraction form
    1,091.73/1,638.77 = 442.89/x
  3. Step 3: Cross multiply
    1,091.73x = 1,638.77 × 442.89
  4. Step 4: Simplify right side
    1,091.73x = 725,794.85
  5. Step 5: Solve for x
    x = 725,794.85/1,091.73
  6. Step 6: Final answer
    x = 664.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.