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Finding the Fourth Proportional to 512.10, 765.80 and 382.19

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Solution

The fourth proportional to 512.10, 765.80 and 382.19 is: 571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.10 : 765.80 = 382.19 : x
  2. Step 2: Convert to fraction form
    512.10/765.80 = 382.19/x
  3. Step 3: Cross multiply
    512.10x = 765.80 × 382.19
  4. Step 4: Simplify right side
    512.10x = 292,675.36
  5. Step 5: Solve for x
    x = 292,675.36/512.10
  6. Step 6: Final answer
    x = 571.52

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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.