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Finding the Fourth Proportional to 574.22, 860.42 and 552.86

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Solution

The fourth proportional to 574.22, 860.42 and 552.86 is: 828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.22 : 860.42 = 552.86 : x
  2. Step 2: Convert to fraction form
    574.22/860.42 = 552.86/x
  3. Step 3: Cross multiply
    574.22x = 860.42 × 552.86
  4. Step 4: Simplify right side
    574.22x = 475,691.80
  5. Step 5: Solve for x
    x = 475,691.80/574.22
  6. Step 6: Final answer
    x = 828.41

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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.