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Finding the Fourth Proportional to 812.82, 1,219.26 and 235.68

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Solution

The fourth proportional to 812.82, 1,219.26 and 235.68 is: 353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.82 : 1,219.26 = 235.68 : x
  2. Step 2: Convert to fraction form
    812.82/1,219.26 = 235.68/x
  3. Step 3: Cross multiply
    812.82x = 1,219.26 × 235.68
  4. Step 4: Simplify right side
    812.82x = 287,355.20
  5. Step 5: Solve for x
    x = 287,355.20/812.82
  6. Step 6: Final answer
    x = 353.53

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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.