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Finding the Fourth Proportional to 911.40, 1,366.77 and 326.25

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Solution

The fourth proportional to 911.40, 1,366.77 and 326.25 is: 489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.40 : 1,366.77 = 326.25 : x
  2. Step 2: Convert to fraction form
    911.40/1,366.77 = 326.25/x
  3. Step 3: Cross multiply
    911.40x = 1,366.77 × 326.25
  4. Step 4: Simplify right side
    911.40x = 445,901.88
  5. Step 5: Solve for x
    x = 445,901.88/911.40
  6. Step 6: Final answer
    x = 489.25

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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.