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Finding the Fourth Proportional to 575.45, 862.49 and 331.47

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Solution

The fourth proportional to 575.45, 862.49 and 331.47 is: 496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.45 : 862.49 = 331.47 : x
  2. Step 2: Convert to fraction form
    575.45/862.49 = 331.47/x
  3. Step 3: Cross multiply
    575.45x = 862.49 × 331.47
  4. Step 4: Simplify right side
    575.45x = 285,889.56
  5. Step 5: Solve for x
    x = 285,889.56/575.45
  6. Step 6: Final answer
    x = 496.81

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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.