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Finding the Fourth Proportional to 865, 1,193.72 and 492

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Solution

The fourth proportional to 865, 1,193.72 and 492 is: 678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    865 : 1,193.72 = 492 : x
  2. Step 2: Convert to fraction form
    865/1,193.72 = 492/x
  3. Step 3: Cross multiply
    865x = 1,193.72 × 492
  4. Step 4: Simplify right side
    865x = 587,310.24
  5. Step 5: Solve for x
    x = 587,310.24/865
  6. Step 6: Final answer
    x = 678.97

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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.