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Finding the Fourth Proportional to 398.92, 593.77 and 389.96

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Solution

The fourth proportional to 398.92, 593.77 and 389.96 is: 580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.92 : 593.77 = 389.96 : x
  2. Step 2: Convert to fraction form
    398.92/593.77 = 389.96/x
  3. Step 3: Cross multiply
    398.92x = 593.77 × 389.96
  4. Step 4: Simplify right side
    398.92x = 231,546.55
  5. Step 5: Solve for x
    x = 231,546.55/398.92
  6. Step 6: Final answer
    x = 580.43

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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.