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Finding the Fourth Proportional to 398.46, 593.97 and 394.14

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Solution

The fourth proportional to 398.46, 593.97 and 394.14 is: 587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.46 : 593.97 = 394.14 : x
  2. Step 2: Convert to fraction form
    398.46/593.97 = 394.14/x
  3. Step 3: Cross multiply
    398.46x = 593.97 × 394.14
  4. Step 4: Simplify right side
    398.46x = 234,107.34
  5. Step 5: Solve for x
    x = 234,107.34/398.46
  6. Step 6: Final answer
    x = 587.53

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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.