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Finding the Fourth Proportional to 823.80, 1,233.30 and 799.80

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Solution

The fourth proportional to 823.80, 1,233.30 and 799.80 is: 1,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.80 : 1,233.30 = 799.80 : x
  2. Step 2: Convert to fraction form
    823.80/1,233.30 = 799.80/x
  3. Step 3: Cross multiply
    823.80x = 1,233.30 × 799.80
  4. Step 4: Simplify right side
    823.80x = 986,393.34
  5. Step 5: Solve for x
    x = 986,393.34/823.80
  6. Step 6: Final answer
    x = 1,197.37

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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.