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Finding the Fourth Proportional to 577.60, 796.84 and 391.24

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Solution

The fourth proportional to 577.60, 796.84 and 391.24 is: 539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 796.84 = 391.24 : x
  2. Step 2: Convert to fraction form
    577.60/796.84 = 391.24/x
  3. Step 3: Cross multiply
    577.60x = 796.84 × 391.24
  4. Step 4: Simplify right side
    577.60x = 311,755.68
  5. Step 5: Solve for x
    x = 311,755.68/577.60
  6. Step 6: Final answer
    x = 539.74

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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.