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Finding the Fourth Proportional to 579.70, 799.05 and 422.38

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Solution

The fourth proportional to 579.70, 799.05 and 422.38 is: 582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.70 : 799.05 = 422.38 : x
  2. Step 2: Convert to fraction form
    579.70/799.05 = 422.38/x
  3. Step 3: Cross multiply
    579.70x = 799.05 × 422.38
  4. Step 4: Simplify right side
    579.70x = 337,502.74
  5. Step 5: Solve for x
    x = 337,502.74/579.70
  6. Step 6: Final answer
    x = 582.20

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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.