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Finding the Fourth Proportional to 575.13, 793.26 and 378.57

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Solution

The fourth proportional to 575.13, 793.26 and 378.57 is: 522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.13 : 793.26 = 378.57 : x
  2. Step 2: Convert to fraction form
    575.13/793.26 = 378.57/x
  3. Step 3: Cross multiply
    575.13x = 793.26 × 378.57
  4. Step 4: Simplify right side
    575.13x = 300,304.44
  5. Step 5: Solve for x
    x = 300,304.44/575.13
  6. Step 6: Final answer
    x = 522.15

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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.