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Finding the Fourth Proportional to 422.86, 580.84 and 349.02

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Solution

The fourth proportional to 422.86, 580.84 and 349.02 is: 479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.86 : 580.84 = 349.02 : x
  2. Step 2: Convert to fraction form
    422.86/580.84 = 349.02/x
  3. Step 3: Cross multiply
    422.86x = 580.84 × 349.02
  4. Step 4: Simplify right side
    422.86x = 202,724.78
  5. Step 5: Solve for x
    x = 202,724.78/422.86
  6. Step 6: Final answer
    x = 479.41

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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.