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Finding the Fourth Proportional to 654.69, 982.04 and 161.10

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Solution

The fourth proportional to 654.69, 982.04 and 161.10 is: 241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.69 : 982.04 = 161.10 : x
  2. Step 2: Convert to fraction form
    654.69/982.04 = 161.10/x
  3. Step 3: Cross multiply
    654.69x = 982.04 × 161.10
  4. Step 4: Simplify right side
    654.69x = 158,202.77
  5. Step 5: Solve for x
    x = 158,202.77/654.69
  6. Step 6: Final answer
    x = 241.65

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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.