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Finding the Fourth Proportional to 1,305.22, 1,944.65 and 1,221.42

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Solution

The fourth proportional to 1,305.22, 1,944.65 and 1,221.42 is: 1,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.22 : 1,944.65 = 1,221.42 : x
  2. Step 2: Convert to fraction form
    1,305.22/1,944.65 = 1,221.42/x
  3. Step 3: Cross multiply
    1,305.22x = 1,944.65 × 1,221.42
  4. Step 4: Simplify right side
    1,305.22x = 2,375,234.40
  5. Step 5: Solve for x
    x = 2,375,234.40/1,305.22
  6. Step 6: Final answer
    x = 1,819.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.