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Finding the Fourth Proportional to 425.82, 589.80 and 394.23

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Solution

The fourth proportional to 425.82, 589.80 and 394.23 is: 546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.82 : 589.80 = 394.23 : x
  2. Step 2: Convert to fraction form
    425.82/589.80 = 394.23/x
  3. Step 3: Cross multiply
    425.82x = 589.80 × 394.23
  4. Step 4: Simplify right side
    425.82x = 232,516.85
  5. Step 5: Solve for x
    x = 232,516.85/425.82
  6. Step 6: Final answer
    x = 546.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.