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Finding the Fourth Proportional to 422.30, 579.67 and 374.63

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Solution

The fourth proportional to 422.30, 579.67 and 374.63 is: 514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.30 : 579.67 = 374.63 : x
  2. Step 2: Convert to fraction form
    422.30/579.67 = 374.63/x
  3. Step 3: Cross multiply
    422.30x = 579.67 × 374.63
  4. Step 4: Simplify right side
    422.30x = 217,163.31
  5. Step 5: Solve for x
    x = 217,163.31/422.30
  6. Step 6: Final answer
    x = 514.24

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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.