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Finding the Fourth Proportional to 654.01, 982.82 and 329.60

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Solution

The fourth proportional to 654.01, 982.82 and 329.60 is: 495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.01 : 982.82 = 329.60 : x
  2. Step 2: Convert to fraction form
    654.01/982.82 = 329.60/x
  3. Step 3: Cross multiply
    654.01x = 982.82 × 329.60
  4. Step 4: Simplify right side
    654.01x = 323,940.75
  5. Step 5: Solve for x
    x = 323,940.75/654.01
  6. Step 6: Final answer
    x = 495.32

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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.