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Finding the Fourth Proportional to 775.50, 1,162.89 and 288.23

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Solution

The fourth proportional to 775.50, 1,162.89 and 288.23 is: 432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.50 : 1,162.89 = 288.23 : x
  2. Step 2: Convert to fraction form
    775.50/1,162.89 = 288.23/x
  3. Step 3: Cross multiply
    775.50x = 1,162.89 × 288.23
  4. Step 4: Simplify right side
    775.50x = 335,173.97
  5. Step 5: Solve for x
    x = 335,173.97/775.50
  6. Step 6: Final answer
    x = 432.20

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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.