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Finding the Fourth Proportional to 808.56, 1,211.80 and 799.44

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Solution

The fourth proportional to 808.56, 1,211.80 and 799.44 is: 1,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.56 : 1,211.80 = 799.44 : x
  2. Step 2: Convert to fraction form
    808.56/1,211.80 = 799.44/x
  3. Step 3: Cross multiply
    808.56x = 1,211.80 × 799.44
  4. Step 4: Simplify right side
    808.56x = 968,761.39
  5. Step 5: Solve for x
    x = 968,761.39/808.56
  6. Step 6: Final answer
    x = 1,198.13

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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.