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Finding the Fourth Proportional to 509.50, 763.38 and 443.78

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Solution

The fourth proportional to 509.50, 763.38 and 443.78 is: 664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 763.38 = 443.78 : x
  2. Step 2: Convert to fraction form
    509.50/763.38 = 443.78/x
  3. Step 3: Cross multiply
    509.50x = 763.38 × 443.78
  4. Step 4: Simplify right side
    509.50x = 338,772.78
  5. Step 5: Solve for x
    x = 338,772.78/509.50
  6. Step 6: Final answer
    x = 664.91

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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.