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Finding the Fourth Proportional to 654.57, 980.91 and 329.49

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Solution

The fourth proportional to 654.57, 980.91 and 329.49 is: 493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.57 : 980.91 = 329.49 : x
  2. Step 2: Convert to fraction form
    654.57/980.91 = 329.49/x
  3. Step 3: Cross multiply
    654.57x = 980.91 × 329.49
  4. Step 4: Simplify right side
    654.57x = 323,200.04
  5. Step 5: Solve for x
    x = 323,200.04/654.57
  6. Step 6: Final answer
    x = 493.76

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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.