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Finding the Fourth Proportional to 982.21, 1,356.26 and 668.14

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Solution

The fourth proportional to 982.21, 1,356.26 and 668.14 is: 922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.21 : 1,356.26 = 668.14 : x
  2. Step 2: Convert to fraction form
    982.21/1,356.26 = 668.14/x
  3. Step 3: Cross multiply
    982.21x = 1,356.26 × 668.14
  4. Step 4: Simplify right side
    982.21x = 906,171.56
  5. Step 5: Solve for x
    x = 906,171.56/982.21
  6. Step 6: Final answer
    x = 922.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.