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Finding the Fourth Proportional to 845.69, 1,269.17 and 326.06

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Solution

The fourth proportional to 845.69, 1,269.17 and 326.06 is: 489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.69 : 1,269.17 = 326.06 : x
  2. Step 2: Convert to fraction form
    845.69/1,269.17 = 326.06/x
  3. Step 3: Cross multiply
    845.69x = 1,269.17 × 326.06
  4. Step 4: Simplify right side
    845.69x = 413,817.59
  5. Step 5: Solve for x
    x = 413,817.59/845.69
  6. Step 6: Final answer
    x = 489.33

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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.