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Finding the Fourth Proportional to 575.02, 793.97 and 378.80

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Solution

The fourth proportional to 575.02, 793.97 and 378.80 is: 523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.02 : 793.97 = 378.80 : x
  2. Step 2: Convert to fraction form
    575.02/793.97 = 378.80/x
  3. Step 3: Cross multiply
    575.02x = 793.97 × 378.80
  4. Step 4: Simplify right side
    575.02x = 300,755.84
  5. Step 5: Solve for x
    x = 300,755.84/575.02
  6. Step 6: Final answer
    x = 523.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.