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Finding the Fourth Proportional to 409.44, 617.24 and 382.66

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Solution

The fourth proportional to 409.44, 617.24 and 382.66 is: 576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.44 : 617.24 = 382.66 : x
  2. Step 2: Convert to fraction form
    409.44/617.24 = 382.66/x
  3. Step 3: Cross multiply
    409.44x = 617.24 × 382.66
  4. Step 4: Simplify right side
    409.44x = 236,193.06
  5. Step 5: Solve for x
    x = 236,193.06/409.44
  6. Step 6: Final answer
    x = 576.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.