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Finding the Fourth Proportional to 409.88, 617.82 and 375.25

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Solution

The fourth proportional to 409.88, 617.82 and 375.25 is: 565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 617.82 = 375.25 : x
  2. Step 2: Convert to fraction form
    409.88/617.82 = 375.25/x
  3. Step 3: Cross multiply
    409.88x = 617.82 × 375.25
  4. Step 4: Simplify right side
    409.88x = 231,836.96
  5. Step 5: Solve for x
    x = 231,836.96/409.88
  6. Step 6: Final answer
    x = 565.62

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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.