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Finding the Fourth Proportional to 991.81, 1,481.20 and 797.11

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Solution

The fourth proportional to 991.81, 1,481.20 and 797.11 is: 1,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.81 : 1,481.20 = 797.11 : x
  2. Step 2: Convert to fraction form
    991.81/1,481.20 = 797.11/x
  3. Step 3: Cross multiply
    991.81x = 1,481.20 × 797.11
  4. Step 4: Simplify right side
    991.81x = 1,180,673.64
  5. Step 5: Solve for x
    x = 1,180,673.64/991.81
  6. Step 6: Final answer
    x = 1,190.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.