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Finding the Fourth Proportional to 422.33, 579.66 and 374.64

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Solution

The fourth proportional to 422.33, 579.66 and 374.64 is: 514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.33 : 579.66 = 374.64 : x
  2. Step 2: Convert to fraction form
    422.33/579.66 = 374.64/x
  3. Step 3: Cross multiply
    422.33x = 579.66 × 374.64
  4. Step 4: Simplify right side
    422.33x = 217,163.82
  5. Step 5: Solve for x
    x = 217,163.82/422.33
  6. Step 6: Final answer
    x = 514.21

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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.