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Finding the Fourth Proportional to 579.18, 799.96 and 421.55

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Solution

The fourth proportional to 579.18, 799.96 and 421.55 is: 582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.18 : 799.96 = 421.55 : x
  2. Step 2: Convert to fraction form
    579.18/799.96 = 421.55/x
  3. Step 3: Cross multiply
    579.18x = 799.96 × 421.55
  4. Step 4: Simplify right side
    579.18x = 337,226.37
  5. Step 5: Solve for x
    x = 337,226.37/579.18
  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.