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Finding the Fourth Proportional to 578.20, 792.41 and 577.24

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Solution

The fourth proportional to 578.20, 792.41 and 577.24 is: 791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.20 : 792.41 = 577.24 : x
  2. Step 2: Convert to fraction form
    578.20/792.41 = 577.24/x
  3. Step 3: Cross multiply
    578.20x = 792.41 × 577.24
  4. Step 4: Simplify right side
    578.20x = 457,410.75
  5. Step 5: Solve for x
    x = 457,410.75/578.20
  6. Step 6: Final answer
    x = 791.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.