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Finding the Fourth Proportional to 850.22, 1,271.80 and 798.38

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Solution

The fourth proportional to 850.22, 1,271.80 and 798.38 is: 1,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.22 : 1,271.80 = 798.38 : x
  2. Step 2: Convert to fraction form
    850.22/1,271.80 = 798.38/x
  3. Step 3: Cross multiply
    850.22x = 1,271.80 × 798.38
  4. Step 4: Simplify right side
    850.22x = 1,015,379.68
  5. Step 5: Solve for x
    x = 1,015,379.68/850.22
  6. Step 6: Final answer
    x = 1,194.26

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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.