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Finding the Fourth Proportional to 396.81, 592.07 and 394.52

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Solution

The fourth proportional to 396.81, 592.07 and 394.52 is: 588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.81 : 592.07 = 394.52 : x
  2. Step 2: Convert to fraction form
    396.81/592.07 = 394.52/x
  3. Step 3: Cross multiply
    396.81x = 592.07 × 394.52
  4. Step 4: Simplify right side
    396.81x = 233,583.46
  5. Step 5: Solve for x
    x = 233,583.46/396.81
  6. Step 6: Final answer
    x = 588.65

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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.