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Finding the Fourth Proportional to 571.26, 855.99 and 327.06

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Solution

The fourth proportional to 571.26, 855.99 and 327.06 is: 490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.26 : 855.99 = 327.06 : x
  2. Step 2: Convert to fraction form
    571.26/855.99 = 327.06/x
  3. Step 3: Cross multiply
    571.26x = 855.99 × 327.06
  4. Step 4: Simplify right side
    571.26x = 279,960.09
  5. Step 5: Solve for x
    x = 279,960.09/571.26
  6. Step 6: Final answer
    x = 490.07

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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.