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Finding the Fourth Proportional to 571.38, 791.82 and 560.44

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Solution

The fourth proportional to 571.38, 791.82 and 560.44 is: 776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.38 : 791.82 = 560.44 : x
  2. Step 2: Convert to fraction form
    571.38/791.82 = 560.44/x
  3. Step 3: Cross multiply
    571.38x = 791.82 × 560.44
  4. Step 4: Simplify right side
    571.38x = 443,767.60
  5. Step 5: Solve for x
    x = 443,767.60/571.38
  6. Step 6: Final answer
    x = 776.66

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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.