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Finding the Fourth Proportional to 394.44, 589.26 and 380.04

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Solution

The fourth proportional to 394.44, 589.26 and 380.04 is: 567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.44 : 589.26 = 380.04 : x
  2. Step 2: Convert to fraction form
    394.44/589.26 = 380.04/x
  3. Step 3: Cross multiply
    394.44x = 589.26 × 380.04
  4. Step 4: Simplify right side
    394.44x = 223,942.37
  5. Step 5: Solve for x
    x = 223,942.37/394.44
  6. Step 6: Final answer
    x = 567.75

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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.