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Finding the Fourth Proportional to 1,819.09, 2,729.73 and 664.93

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Solution

The fourth proportional to 1,819.09, 2,729.73 and 664.93 is: 997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.09 : 2,729.73 = 664.93 : x
  2. Step 2: Convert to fraction form
    1,819.09/2,729.73 = 664.93/x
  3. Step 3: Cross multiply
    1,819.09x = 2,729.73 × 664.93
  4. Step 4: Simplify right side
    1,819.09x = 1,815,079.37
  5. Step 5: Solve for x
    x = 1,815,079.37/1,819.09
  6. Step 6: Final answer
    x = 997.80

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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.