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Finding the Fourth Proportional to 577.52, 796.60 and 422

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Solution

The fourth proportional to 577.52, 796.60 and 422 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.52 : 796.60 = 422 : x
  2. Step 2: Convert to fraction form
    577.52/796.60 = 422/x
  3. Step 3: Cross multiply
    577.52x = 796.60 × 422
  4. Step 4: Simplify right side
    577.52x = 336,165.20
  5. Step 5: Solve for x
    x = 336,165.20/577.52
  6. Step 6: Final answer
    x = 582.08

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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.