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Finding the Fourth Proportional to 571.50, 791.92 and 536.82

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Solution

The fourth proportional to 571.50, 791.92 and 536.82 is: 743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.50 : 791.92 = 536.82 : x
  2. Step 2: Convert to fraction form
    571.50/791.92 = 536.82/x
  3. Step 3: Cross multiply
    571.50x = 791.92 × 536.82
  4. Step 4: Simplify right side
    571.50x = 425,118.49
  5. Step 5: Solve for x
    x = 425,118.49/571.50
  6. Step 6: Final answer
    x = 743.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.