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Finding the Fourth Proportional to 775.76, 1,163.46 and 428.99

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Solution

The fourth proportional to 775.76, 1,163.46 and 428.99 is: 643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.76 : 1,163.46 = 428.99 : x
  2. Step 2: Convert to fraction form
    775.76/1,163.46 = 428.99/x
  3. Step 3: Cross multiply
    775.76x = 1,163.46 × 428.99
  4. Step 4: Simplify right side
    775.76x = 499,112.71
  5. Step 5: Solve for x
    x = 499,112.71/775.76
  6. Step 6: Final answer
    x = 643.39

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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.