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Finding the Fourth Proportional to 579.66, 799.17 and 422.33

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Solution

The fourth proportional to 579.66, 799.17 and 422.33 is: 582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.66 : 799.17 = 422.33 : x
  2. Step 2: Convert to fraction form
    579.66/799.17 = 422.33/x
  3. Step 3: Cross multiply
    579.66x = 799.17 × 422.33
  4. Step 4: Simplify right side
    579.66x = 337,509.47
  5. Step 5: Solve for x
    x = 337,509.47/579.66
  6. Step 6: Final answer
    x = 582.25

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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.