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Finding the Fourth Proportional to 809.32, 1,212.38 and 626.44

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Solution

The fourth proportional to 809.32, 1,212.38 and 626.44 is: 938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.32 : 1,212.38 = 626.44 : x
  2. Step 2: Convert to fraction form
    809.32/1,212.38 = 626.44/x
  3. Step 3: Cross multiply
    809.32x = 1,212.38 × 626.44
  4. Step 4: Simplify right side
    809.32x = 759,483.33
  5. Step 5: Solve for x
    x = 759,483.33/809.32
  6. Step 6: Final answer
    x = 938.42

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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.