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Finding the Fourth Proportional to 513.45, 768.96 and 377.37

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Solution

The fourth proportional to 513.45, 768.96 and 377.37 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.45 : 768.96 = 377.37 : x
  2. Step 2: Convert to fraction form
    513.45/768.96 = 377.37/x
  3. Step 3: Cross multiply
    513.45x = 768.96 × 377.37
  4. Step 4: Simplify right side
    513.45x = 290,182.44
  5. Step 5: Solve for x
    x = 290,182.44/513.45
  6. Step 6: Final answer
    x = 565.16

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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.