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Finding the Fourth Proportional to 865.67, 1,194.54 and 492.62

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Solution

The fourth proportional to 865.67, 1,194.54 and 492.62 is: 679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.67 : 1,194.54 = 492.62 : x
  2. Step 2: Convert to fraction form
    865.67/1,194.54 = 492.62/x
  3. Step 3: Cross multiply
    865.67x = 1,194.54 × 492.62
  4. Step 4: Simplify right side
    865.67x = 588,454.29
  5. Step 5: Solve for x
    x = 588,454.29/865.67
  6. Step 6: Final answer
    x = 679.77

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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.