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Finding the Fourth Proportional to 819.93, 1,228.83 and 408.18

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Solution

The fourth proportional to 819.93, 1,228.83 and 408.18 is: 611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.93 : 1,228.83 = 408.18 : x
  2. Step 2: Convert to fraction form
    819.93/1,228.83 = 408.18/x
  3. Step 3: Cross multiply
    819.93x = 1,228.83 × 408.18
  4. Step 4: Simplify right side
    819.93x = 501,583.83
  5. Step 5: Solve for x
    x = 501,583.83/819.93
  6. Step 6: Final answer
    x = 611.74

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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.