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Finding the Fourth Proportional to 654.75, 982.53 and 380.97

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Solution

The fourth proportional to 654.75, 982.53 and 380.97 is: 571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 982.53 = 380.97 : x
  2. Step 2: Convert to fraction form
    654.75/982.53 = 380.97/x
  3. Step 3: Cross multiply
    654.75x = 982.53 × 380.97
  4. Step 4: Simplify right side
    654.75x = 374,314.45
  5. Step 5: Solve for x
    x = 374,314.45/654.75
  6. Step 6: Final answer
    x = 571.69

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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.