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Finding the Fourth Proportional to 573.59, 791.41 and 387.42

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Solution

The fourth proportional to 573.59, 791.41 and 387.42 is: 534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.59 : 791.41 = 387.42 : x
  2. Step 2: Convert to fraction form
    573.59/791.41 = 387.42/x
  3. Step 3: Cross multiply
    573.59x = 791.41 × 387.42
  4. Step 4: Simplify right side
    573.59x = 306,608.06
  5. Step 5: Solve for x
    x = 306,608.06/573.59
  6. Step 6: Final answer
    x = 534.54

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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.