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Finding the Fourth Proportional to 571.86, 861.82 and 517.08

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Solution

The fourth proportional to 571.86, 861.82 and 517.08 is: 779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 861.82 = 517.08 : x
  2. Step 2: Convert to fraction form
    571.86/861.82 = 517.08/x
  3. Step 3: Cross multiply
    571.86x = 861.82 × 517.08
  4. Step 4: Simplify right side
    571.86x = 445,629.89
  5. Step 5: Solve for x
    x = 445,629.89/571.86
  6. Step 6: Final answer
    x = 779.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.