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Finding the Fourth Proportional to 775.63, 1,163.74 and 342.48

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Solution

The fourth proportional to 775.63, 1,163.74 and 342.48 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.63 : 1,163.74 = 342.48 : x
  2. Step 2: Convert to fraction form
    775.63/1,163.74 = 342.48/x
  3. Step 3: Cross multiply
    775.63x = 1,163.74 × 342.48
  4. Step 4: Simplify right side
    775.63x = 398,557.68
  5. Step 5: Solve for x
    x = 398,557.68/775.63
  6. Step 6: Final answer
    x = 513.85

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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.