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Finding the Fourth Proportional to 654.75, 982.10 and 161.16

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Solution

The fourth proportional to 654.75, 982.10 and 161.16 is: 241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 982.10 = 161.16 : x
  2. Step 2: Convert to fraction form
    654.75/982.10 = 161.16/x
  3. Step 3: Cross multiply
    654.75x = 982.10 × 161.16
  4. Step 4: Simplify right side
    654.75x = 158,275.24
  5. Step 5: Solve for x
    x = 158,275.24/654.75
  6. Step 6: Final answer
    x = 241.73

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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.