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Finding the Fourth Proportional to 1,195.50, 1,793.61 and 426.06

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Solution

The fourth proportional to 1,195.50, 1,793.61 and 426.06 is: 639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.50 : 1,793.61 = 426.06 : x
  2. Step 2: Convert to fraction form
    1,195.50/1,793.61 = 426.06/x
  3. Step 3: Cross multiply
    1,195.50x = 1,793.61 × 426.06
  4. Step 4: Simplify right side
    1,195.50x = 764,191.56
  5. Step 5: Solve for x
    x = 764,191.56/1,195.50
  6. Step 6: Final answer
    x = 639.22

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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.