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Finding the Fourth Proportional to 654.90, 982.04 and 381.07

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Solution

The fourth proportional to 654.90, 982.04 and 381.07 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.90 : 982.04 = 381.07 : x
  2. Step 2: Convert to fraction form
    654.90/982.04 = 381.07/x
  3. Step 3: Cross multiply
    654.90x = 982.04 × 381.07
  4. Step 4: Simplify right side
    654.90x = 374,224.08
  5. Step 5: Solve for x
    x = 374,224.08/654.90
  6. Step 6: Final answer
    x = 571.42

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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.