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Finding the Fourth Proportional to 982.12, 1,471.12 and 797.64

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Solution

The fourth proportional to 982.12, 1,471.12 and 797.64 is: 1,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.12 : 1,471.12 = 797.64 : x
  2. Step 2: Convert to fraction form
    982.12/1,471.12 = 797.64/x
  3. Step 3: Cross multiply
    982.12x = 1,471.12 × 797.64
  4. Step 4: Simplify right side
    982.12x = 1,173,422.16
  5. Step 5: Solve for x
    x = 1,173,422.16/982.12
  6. Step 6: Final answer
    x = 1,194.79

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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.