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Finding the Fourth Proportional to 820.07, 1,229.83 and 326.31

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Solution

The fourth proportional to 820.07, 1,229.83 and 326.31 is: 489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.07 : 1,229.83 = 326.31 : x
  2. Step 2: Convert to fraction form
    820.07/1,229.83 = 326.31/x
  3. Step 3: Cross multiply
    820.07x = 1,229.83 × 326.31
  4. Step 4: Simplify right side
    820.07x = 401,299.68
  5. Step 5: Solve for x
    x = 401,299.68/820.07
  6. Step 6: Final answer
    x = 489.35

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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.