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Finding the Fourth Proportional to 775.60, 1,162.17 and 622.51

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Solution

The fourth proportional to 775.60, 1,162.17 and 622.51 is: 932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.60 : 1,162.17 = 622.51 : x
  2. Step 2: Convert to fraction form
    775.60/1,162.17 = 622.51/x
  3. Step 3: Cross multiply
    775.60x = 1,162.17 × 622.51
  4. Step 4: Simplify right side
    775.60x = 723,462.45
  5. Step 5: Solve for x
    x = 723,462.45/775.60
  6. Step 6: Final answer
    x = 932.78

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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.