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Finding the Fourth Proportional to 865.78, 1,194.70 and 492.78

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Solution

The fourth proportional to 865.78, 1,194.70 and 492.78 is: 679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.78 : 1,194.70 = 492.78 : x
  2. Step 2: Convert to fraction form
    865.78/1,194.70 = 492.78/x
  3. Step 3: Cross multiply
    865.78x = 1,194.70 × 492.78
  4. Step 4: Simplify right side
    865.78x = 588,724.27
  5. Step 5: Solve for x
    x = 588,724.27/865.78
  6. Step 6: Final answer
    x = 679.99

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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.