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Finding the Fourth Proportional to 775.47, 1,163.36 and 429.20

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Solution

The fourth proportional to 775.47, 1,163.36 and 429.20 is: 643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.47 : 1,163.36 = 429.20 : x
  2. Step 2: Convert to fraction form
    775.47/1,163.36 = 429.20/x
  3. Step 3: Cross multiply
    775.47x = 1,163.36 × 429.20
  4. Step 4: Simplify right side
    775.47x = 499,313.73
  5. Step 5: Solve for x
    x = 499,313.73/775.47
  6. Step 6: Final answer
    x = 643.88

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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.