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Finding the Fourth Proportional to 1,819.34, 2,729.37 and 665.18

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Solution

The fourth proportional to 1,819.34, 2,729.37 and 665.18 is: 997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.34 : 2,729.37 = 665.18 : x
  2. Step 2: Convert to fraction form
    1,819.34/2,729.37 = 665.18/x
  3. Step 3: Cross multiply
    1,819.34x = 2,729.37 × 665.18
  4. Step 4: Simplify right side
    1,819.34x = 1,815,522.34
  5. Step 5: Solve for x
    x = 1,815,522.34/1,819.34
  6. Step 6: Final answer
    x = 997.90

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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.