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Finding the Fourth Proportional to 575.45, 862.25 and 250.43

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Solution

The fourth proportional to 575.45, 862.25 and 250.43 is: 375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.45 : 862.25 = 250.43 : x
  2. Step 2: Convert to fraction form
    575.45/862.25 = 250.43/x
  3. Step 3: Cross multiply
    575.45x = 862.25 × 250.43
  4. Step 4: Simplify right side
    575.45x = 215,936.05
  5. Step 5: Solve for x
    x = 215,936.05/575.45
  6. Step 6: Final answer
    x = 375.25

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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.