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Finding the Fourth Proportional to 578.32, 798.44 and 423.44

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Solution

The fourth proportional to 578.32, 798.44 and 423.44 is: 584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.32 : 798.44 = 423.44 : x
  2. Step 2: Convert to fraction form
    578.32/798.44 = 423.44/x
  3. Step 3: Cross multiply
    578.32x = 798.44 × 423.44
  4. Step 4: Simplify right side
    578.32x = 338,091.43
  5. Step 5: Solve for x
    x = 338,091.43/578.32
  6. Step 6: Final answer
    x = 584.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.