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Finding the Fourth Proportional to 571.56, 858.75 and 366.22

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Solution

The fourth proportional to 571.56, 858.75 and 366.22 is: 550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.56 : 858.75 = 366.22 : x
  2. Step 2: Convert to fraction form
    571.56/858.75 = 366.22/x
  3. Step 3: Cross multiply
    571.56x = 858.75 × 366.22
  4. Step 4: Simplify right side
    571.56x = 314,491.43
  5. Step 5: Solve for x
    x = 314,491.43/571.56
  6. Step 6: Final answer
    x = 550.23

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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.