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Finding the Fourth Proportional to 775.84, 1,163.96 and 451.48

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Solution

The fourth proportional to 775.84, 1,163.96 and 451.48 is: 677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.84 : 1,163.96 = 451.48 : x
  2. Step 2: Convert to fraction form
    775.84/1,163.96 = 451.48/x
  3. Step 3: Cross multiply
    775.84x = 1,163.96 × 451.48
  4. Step 4: Simplify right side
    775.84x = 525,504.66
  5. Step 5: Solve for x
    x = 525,504.66/775.84
  6. Step 6: Final answer
    x = 677.34

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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.