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Finding the Fourth Proportional to 982.21, 1,474.40 and 881.23

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Solution

The fourth proportional to 982.21, 1,474.40 and 881.23 is: 1,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.21 : 1,474.40 = 881.23 : x
  2. Step 2: Convert to fraction form
    982.21/1,474.40 = 881.23/x
  3. Step 3: Cross multiply
    982.21x = 1,474.40 × 881.23
  4. Step 4: Simplify right side
    982.21x = 1,299,281.11
  5. Step 5: Solve for x
    x = 1,299,281.11/982.21
  6. Step 6: Final answer
    x = 1,322.81

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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.