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Finding the Fourth Proportional to 573.96, 791.78 and 363.79

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Solution

The fourth proportional to 573.96, 791.78 and 363.79 is: 501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.96 : 791.78 = 363.79 : x
  2. Step 2: Convert to fraction form
    573.96/791.78 = 363.79/x
  3. Step 3: Cross multiply
    573.96x = 791.78 × 363.79
  4. Step 4: Simplify right side
    573.96x = 288,035.87
  5. Step 5: Solve for x
    x = 288,035.87/573.96
  6. Step 6: Final answer
    x = 501.84

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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.