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Finding the Fourth Proportional to 865.09, 1,193.86 and 492.16

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Solution

The fourth proportional to 865.09, 1,193.86 and 492.16 is: 679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.09 : 1,193.86 = 492.16 : x
  2. Step 2: Convert to fraction form
    865.09/1,193.86 = 492.16/x
  3. Step 3: Cross multiply
    865.09x = 1,193.86 × 492.16
  4. Step 4: Simplify right side
    865.09x = 587,570.14
  5. Step 5: Solve for x
    x = 587,570.14/865.09
  6. Step 6: Final answer
    x = 679.20

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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.