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Finding the Fourth Proportional to 512.52, 765.96 and 375.90

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Solution

The fourth proportional to 512.52, 765.96 and 375.90 is: 561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.52 : 765.96 = 375.90 : x
  2. Step 2: Convert to fraction form
    512.52/765.96 = 375.90/x
  3. Step 3: Cross multiply
    512.52x = 765.96 × 375.90
  4. Step 4: Simplify right side
    512.52x = 287,924.36
  5. Step 5: Solve for x
    x = 287,924.36/512.52
  6. Step 6: Final answer
    x = 561.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.