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Finding the Fourth Proportional to 568.28, 852.44 and 375.80

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Solution

The fourth proportional to 568.28, 852.44 and 375.80 is: 563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.28 : 852.44 = 375.80 : x
  2. Step 2: Convert to fraction form
    568.28/852.44 = 375.80/x
  3. Step 3: Cross multiply
    568.28x = 852.44 × 375.80
  4. Step 4: Simplify right side
    568.28x = 320,346.95
  5. Step 5: Solve for x
    x = 320,346.95/568.28
  6. Step 6: Final answer
    x = 563.71

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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.