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Finding the Fourth Proportional to 808.46, 1,212.26 and 396.78

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Solution

The fourth proportional to 808.46, 1,212.26 and 396.78 is: 594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.46 : 1,212.26 = 396.78 : x
  2. Step 2: Convert to fraction form
    808.46/1,212.26 = 396.78/x
  3. Step 3: Cross multiply
    808.46x = 1,212.26 × 396.78
  4. Step 4: Simplify right side
    808.46x = 481,000.52
  5. Step 5: Solve for x
    x = 481,000.52/808.46
  6. Step 6: Final answer
    x = 594.96

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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.