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Finding the Fourth Proportional to 396.07, 589.76 and 391.72

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Solution

The fourth proportional to 396.07, 589.76 and 391.72 is: 583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.07 : 589.76 = 391.72 : x
  2. Step 2: Convert to fraction form
    396.07/589.76 = 391.72/x
  3. Step 3: Cross multiply
    396.07x = 589.76 × 391.72
  4. Step 4: Simplify right side
    396.07x = 231,020.79
  5. Step 5: Solve for x
    x = 231,020.79/396.07
  6. Step 6: Final answer
    x = 583.28

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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.