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Finding the Fourth Proportional to 819.57, 1,230.12 and 512.00

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Solution

The fourth proportional to 819.57, 1,230.12 and 512.00 is: 768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.57 : 1,230.12 = 512.00 : x
  2. Step 2: Convert to fraction form
    819.57/1,230.12 = 512.00/x
  3. Step 3: Cross multiply
    819.57x = 1,230.12 × 512.00
  4. Step 4: Simplify right side
    819.57x = 629,815.29
  5. Step 5: Solve for x
    x = 629,815.29/819.57
  6. Step 6: Final answer
    x = 768.47

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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.