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Finding the Fourth Proportional to 396.63, 590.29 and 382.05

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Solution

The fourth proportional to 396.63, 590.29 and 382.05 is: 568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 590.29 = 382.05 : x
  2. Step 2: Convert to fraction form
    396.63/590.29 = 382.05/x
  3. Step 3: Cross multiply
    396.63x = 590.29 × 382.05
  4. Step 4: Simplify right side
    396.63x = 225,519.34
  5. Step 5: Solve for x
    x = 225,519.34/396.63
  6. Step 6: Final answer
    x = 568.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.