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Finding the Fourth Proportional to 789.03, 1,182.69 and 326.51

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Solution

The fourth proportional to 789.03, 1,182.69 and 326.51 is: 489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.03 : 1,182.69 = 326.51 : x
  2. Step 2: Convert to fraction form
    789.03/1,182.69 = 326.51/x
  3. Step 3: Cross multiply
    789.03x = 1,182.69 × 326.51
  4. Step 4: Simplify right side
    789.03x = 386,162.33
  5. Step 5: Solve for x
    x = 386,162.33/789.03
  6. Step 6: Final answer
    x = 489.41

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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.