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Finding the Fourth Proportional to 809.78, 1,212.56 and 562.61

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Solution

The fourth proportional to 809.78, 1,212.56 and 562.61 is: 842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.78 : 1,212.56 = 562.61 : x
  2. Step 2: Convert to fraction form
    809.78/1,212.56 = 562.61/x
  3. Step 3: Cross multiply
    809.78x = 1,212.56 × 562.61
  4. Step 4: Simplify right side
    809.78x = 682,189.51
  5. Step 5: Solve for x
    x = 682,189.51/809.78
  6. Step 6: Final answer
    x = 842.44

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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.