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Finding the Fourth Proportional to 807.92, 1,211.94 and 230.84

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Solution

The fourth proportional to 807.92, 1,211.94 and 230.84 is: 346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.92 : 1,211.94 = 230.84 : x
  2. Step 2: Convert to fraction form
    807.92/1,211.94 = 230.84/x
  3. Step 3: Cross multiply
    807.92x = 1,211.94 × 230.84
  4. Step 4: Simplify right side
    807.92x = 279,764.23
  5. Step 5: Solve for x
    x = 279,764.23/807.92
  6. Step 6: Final answer
    x = 346.28

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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.