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Finding the Fourth Proportional to 822.28, 1,226.67 and 763.36

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Solution

The fourth proportional to 822.28, 1,226.67 and 763.36 is: 1,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.28 : 1,226.67 = 763.36 : x
  2. Step 2: Convert to fraction form
    822.28/1,226.67 = 763.36/x
  3. Step 3: Cross multiply
    822.28x = 1,226.67 × 763.36
  4. Step 4: Simplify right side
    822.28x = 936,390.81
  5. Step 5: Solve for x
    x = 936,390.81/822.28
  6. Step 6: Final answer
    x = 1,138.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.