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Finding the Fourth Proportional to 823.38, 1,234.80 and 531.20

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Solution

The fourth proportional to 823.38, 1,234.80 and 531.20 is: 796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.38 : 1,234.80 = 531.20 : x
  2. Step 2: Convert to fraction form
    823.38/1,234.80 = 531.20/x
  3. Step 3: Cross multiply
    823.38x = 1,234.80 × 531.20
  4. Step 4: Simplify right side
    823.38x = 655,919.59
  5. Step 5: Solve for x
    x = 655,919.59/823.38
  6. Step 6: Final answer
    x = 796.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.