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Finding the Fourth Proportional to 809.56, 1,212.72 and 626.32

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Solution

The fourth proportional to 809.56, 1,212.72 and 626.32 is: 938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.56 : 1,212.72 = 626.32 : x
  2. Step 2: Convert to fraction form
    809.56/1,212.72 = 626.32/x
  3. Step 3: Cross multiply
    809.56x = 1,212.72 × 626.32
  4. Step 4: Simplify right side
    809.56x = 759,550.79
  5. Step 5: Solve for x
    x = 759,550.79/809.56
  6. Step 6: Final answer
    x = 938.23

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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.