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Finding the Fourth Proportional to 571.26, 851.38 and 566.46

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Solution

The fourth proportional to 571.26, 851.38 and 566.46 is: 844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.26 : 851.38 = 566.46 : x
  2. Step 2: Convert to fraction form
    571.26/851.38 = 566.46/x
  3. Step 3: Cross multiply
    571.26x = 851.38 × 566.46
  4. Step 4: Simplify right side
    571.26x = 482,272.71
  5. Step 5: Solve for x
    x = 482,272.71/571.26
  6. Step 6: Final answer
    x = 844.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.