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Finding the Fourth Proportional to 655.76, 982.34 and 381.27

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Solution

The fourth proportional to 655.76, 982.34 and 381.27 is: 571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.76 : 982.34 = 381.27 : x
  2. Step 2: Convert to fraction form
    655.76/982.34 = 381.27/x
  3. Step 3: Cross multiply
    655.76x = 982.34 × 381.27
  4. Step 4: Simplify right side
    655.76x = 374,536.77
  5. Step 5: Solve for x
    x = 374,536.77/655.76
  6. Step 6: Final answer
    x = 571.15

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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.