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Finding the Fourth Proportional to 571.81, 861.99 and 534.22

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Solution

The fourth proportional to 571.81, 861.99 and 534.22 is: 805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.81 : 861.99 = 534.22 : x
  2. Step 2: Convert to fraction form
    571.81/861.99 = 534.22/x
  3. Step 3: Cross multiply
    571.81x = 861.99 × 534.22
  4. Step 4: Simplify right side
    571.81x = 460,493.57
  5. Step 5: Solve for x
    x = 460,493.57/571.81
  6. Step 6: Final answer
    x = 805.33

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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.