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Finding the Fourth Proportional to 579.24, 799.02 and 382.80

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Solution

The fourth proportional to 579.24, 799.02 and 382.80 is: 528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 799.02 = 382.80 : x
  2. Step 2: Convert to fraction form
    579.24/799.02 = 382.80/x
  3. Step 3: Cross multiply
    579.24x = 799.02 × 382.80
  4. Step 4: Simplify right side
    579.24x = 305,864.86
  5. Step 5: Solve for x
    x = 305,864.86/579.24
  6. Step 6: Final answer
    x = 528.05

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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.