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Finding the Fourth Proportional to 1,819.60, 2,729.38 and 778.72

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Solution

The fourth proportional to 1,819.60, 2,729.38 and 778.72 is: 1,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.60 : 2,729.38 = 778.72 : x
  2. Step 2: Convert to fraction form
    1,819.60/2,729.38 = 778.72/x
  3. Step 3: Cross multiply
    1,819.60x = 2,729.38 × 778.72
  4. Step 4: Simplify right side
    1,819.60x = 2,125,414.02
  5. Step 5: Solve for x
    x = 2,125,414.02/1,819.60
  6. Step 6: Final answer
    x = 1,168.07

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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.