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Finding the Fourth Proportional to 579.12, 799.84 and 422.45

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Solution

The fourth proportional to 579.12, 799.84 and 422.45 is: 583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.12 : 799.84 = 422.45 : x
  2. Step 2: Convert to fraction form
    579.12/799.84 = 422.45/x
  3. Step 3: Cross multiply
    579.12x = 799.84 × 422.45
  4. Step 4: Simplify right side
    579.12x = 337,892.41
  5. Step 5: Solve for x
    x = 337,892.41/579.12
  6. Step 6: Final answer
    x = 583.46

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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.