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Finding the Fourth Proportional to 394.83, 588.44 and 394.22

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Solution

The fourth proportional to 394.83, 588.44 and 394.22 is: 587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.83 : 588.44 = 394.22 : x
  2. Step 2: Convert to fraction form
    394.83/588.44 = 394.22/x
  3. Step 3: Cross multiply
    394.83x = 588.44 × 394.22
  4. Step 4: Simplify right side
    394.83x = 231,977.27
  5. Step 5: Solve for x
    x = 231,977.27/394.83
  6. Step 6: Final answer
    x = 587.54

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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.