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Finding the Fourth Proportional to 571.86, 861.44 and 514.89

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Solution

The fourth proportional to 571.86, 861.44 and 514.89 is: 775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 861.44 = 514.89 : x
  2. Step 2: Convert to fraction form
    571.86/861.44 = 514.89/x
  3. Step 3: Cross multiply
    571.86x = 861.44 × 514.89
  4. Step 4: Simplify right side
    571.86x = 443,544.27
  5. Step 5: Solve for x
    x = 443,544.27/571.86
  6. Step 6: Final answer
    x = 775.62

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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.