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Finding the Fourth Proportional to 775.24, 1,163.40 and 450.16

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Solution

The fourth proportional to 775.24, 1,163.40 and 450.16 is: 675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.24 : 1,163.40 = 450.16 : x
  2. Step 2: Convert to fraction form
    775.24/1,163.40 = 450.16/x
  3. Step 3: Cross multiply
    775.24x = 1,163.40 × 450.16
  4. Step 4: Simplify right side
    775.24x = 523,716.14
  5. Step 5: Solve for x
    x = 523,716.14/775.24
  6. Step 6: Final answer
    x = 675.55

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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.