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Finding the Fourth Proportional to 982.09, 1,353.90 and 667.37

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Solution

The fourth proportional to 982.09, 1,353.90 and 667.37 is: 920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.09 : 1,353.90 = 667.37 : x
  2. Step 2: Convert to fraction form
    982.09/1,353.90 = 667.37/x
  3. Step 3: Cross multiply
    982.09x = 1,353.90 × 667.37
  4. Step 4: Simplify right side
    982.09x = 903,542.14
  5. Step 5: Solve for x
    x = 903,542.14/982.09
  6. Step 6: Final answer
    x = 920.02

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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.