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Finding the Fourth Proportional to 398.97, 593.93 and 396.81

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Solution

The fourth proportional to 398.97, 593.93 and 396.81 is: 590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.97 : 593.93 = 396.81 : x
  2. Step 2: Convert to fraction form
    398.97/593.93 = 396.81/x
  3. Step 3: Cross multiply
    398.97x = 593.93 × 396.81
  4. Step 4: Simplify right side
    398.97x = 235,678.36
  5. Step 5: Solve for x
    x = 235,678.36/398.97
  6. Step 6: Final answer
    x = 590.72

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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.