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Finding the Fourth Proportional to 422.80, 578.90 and 422.80

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Solution

The fourth proportional to 422.80, 578.90 and 422.80 is: 578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 578.90 = 422.80 : x
  2. Step 2: Convert to fraction form
    422.80/578.90 = 422.80/x
  3. Step 3: Cross multiply
    422.80x = 578.90 × 422.80
  4. Step 4: Simplify right side
    422.80x = 244,758.92
  5. Step 5: Solve for x
    x = 244,758.92/422.80
  6. Step 6: Final answer
    x = 578.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.