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Finding the Fourth Proportional to 775.97, 1,163.84 and 288.89

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Solution

The fourth proportional to 775.97, 1,163.84 and 288.89 is: 433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.97 : 1,163.84 = 288.89 : x
  2. Step 2: Convert to fraction form
    775.97/1,163.84 = 288.89/x
  3. Step 3: Cross multiply
    775.97x = 1,163.84 × 288.89
  4. Step 4: Simplify right side
    775.97x = 336,220.29
  5. Step 5: Solve for x
    x = 336,220.29/775.97
  6. Step 6: Final answer
    x = 433.29

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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.