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Finding the Fourth Proportional to 609.78, 842.18 and 544.17

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Solution

The fourth proportional to 609.78, 842.18 and 544.17 is: 751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.78 : 842.18 = 544.17 : x
  2. Step 2: Convert to fraction form
    609.78/842.18 = 544.17/x
  3. Step 3: Cross multiply
    609.78x = 842.18 × 544.17
  4. Step 4: Simplify right side
    609.78x = 458,286.37
  5. Step 5: Solve for x
    x = 458,286.37/609.78
  6. Step 6: Final answer
    x = 751.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.