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Finding the Fourth Proportional to 394.67, 591.17 and 383.27

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Solution

The fourth proportional to 394.67, 591.17 and 383.27 is: 574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.67 : 591.17 = 383.27 : x
  2. Step 2: Convert to fraction form
    394.67/591.17 = 383.27/x
  3. Step 3: Cross multiply
    394.67x = 591.17 × 383.27
  4. Step 4: Simplify right side
    394.67x = 226,572.85
  5. Step 5: Solve for x
    x = 226,572.85/394.67
  6. Step 6: Final answer
    x = 574.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.