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Finding the Fourth Proportional to 853.56, 1,179.26 and 677.84

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Solution

The fourth proportional to 853.56, 1,179.26 and 677.84 is: 936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.56 : 1,179.26 = 677.84 : x
  2. Step 2: Convert to fraction form
    853.56/1,179.26 = 677.84/x
  3. Step 3: Cross multiply
    853.56x = 1,179.26 × 677.84
  4. Step 4: Simplify right side
    853.56x = 799,349.60
  5. Step 5: Solve for x
    x = 799,349.60/853.56
  6. Step 6: Final answer
    x = 936.49

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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.