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Finding the Fourth Proportional to 401.57, 598.83 and 397.92

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Solution

The fourth proportional to 401.57, 598.83 and 397.92 is: 593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.57 : 598.83 = 397.92 : x
  2. Step 2: Convert to fraction form
    401.57/598.83 = 397.92/x
  3. Step 3: Cross multiply
    401.57x = 598.83 × 397.92
  4. Step 4: Simplify right side
    401.57x = 238,286.43
  5. Step 5: Solve for x
    x = 238,286.43/401.57
  6. Step 6: Final answer
    x = 593.39

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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.