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Finding the Fourth Proportional to 823.03, 1,230.90 and 796.30

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Solution

The fourth proportional to 823.03, 1,230.90 and 796.30 is: 1,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.03 : 1,230.90 = 796.30 : x
  2. Step 2: Convert to fraction form
    823.03/1,230.90 = 796.30/x
  3. Step 3: Cross multiply
    823.03x = 1,230.90 × 796.30
  4. Step 4: Simplify right side
    823.03x = 980,165.67
  5. Step 5: Solve for x
    x = 980,165.67/823.03
  6. Step 6: Final answer
    x = 1,190.92

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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.