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Finding the Fourth Proportional to 655.48, 982.81 and 381.43

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Solution

The fourth proportional to 655.48, 982.81 and 381.43 is: 571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.48 : 982.81 = 381.43 : x
  2. Step 2: Convert to fraction form
    655.48/982.81 = 381.43/x
  3. Step 3: Cross multiply
    655.48x = 982.81 × 381.43
  4. Step 4: Simplify right side
    655.48x = 374,873.22
  5. Step 5: Solve for x
    x = 374,873.22/655.48
  6. Step 6: Final answer
    x = 571.91

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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.