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Finding the Fourth Proportional to 865.25, 1,194.11 and 492.35

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Solution

The fourth proportional to 865.25, 1,194.11 and 492.35 is: 679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.25 : 1,194.11 = 492.35 : x
  2. Step 2: Convert to fraction form
    865.25/1,194.11 = 492.35/x
  3. Step 3: Cross multiply
    865.25x = 1,194.11 × 492.35
  4. Step 4: Simplify right side
    865.25x = 587,920.06
  5. Step 5: Solve for x
    x = 587,920.06/865.25
  6. Step 6: Final answer
    x = 679.48

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