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Finding the Fourth Proportional to 1,092.51, 1,639.56 and 819.34

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Solution

The fourth proportional to 1,092.51, 1,639.56 and 819.34 is: 1,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.51 : 1,639.56 = 819.34 : x
  2. Step 2: Convert to fraction form
    1,092.51/1,639.56 = 819.34/x
  3. Step 3: Cross multiply
    1,092.51x = 1,639.56 × 819.34
  4. Step 4: Simplify right side
    1,092.51x = 1,343,357.09
  5. Step 5: Solve for x
    x = 1,343,357.09/1,092.51
  6. Step 6: Final answer
    x = 1,229.61

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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.