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Finding the Fourth Proportional to 775.97, 1,163.05 and 429.52

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Solution

The fourth proportional to 775.97, 1,163.05 and 429.52 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.97 : 1,163.05 = 429.52 : x
  2. Step 2: Convert to fraction form
    775.97/1,163.05 = 429.52/x
  3. Step 3: Cross multiply
    775.97x = 1,163.05 × 429.52
  4. Step 4: Simplify right side
    775.97x = 499,553.24
  5. Step 5: Solve for x
    x = 499,553.24/775.97
  6. Step 6: Final answer
    x = 643.78

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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.