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Finding the Fourth Proportional to 571.97, 859.11 and 341.31

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Solution

The fourth proportional to 571.97, 859.11 and 341.31 is: 512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.97 : 859.11 = 341.31 : x
  2. Step 2: Convert to fraction form
    571.97/859.11 = 341.31/x
  3. Step 3: Cross multiply
    571.97x = 859.11 × 341.31
  4. Step 4: Simplify right side
    571.97x = 293,221.13
  5. Step 5: Solve for x
    x = 293,221.13/571.97
  6. Step 6: Final answer
    x = 512.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.