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Finding the Fourth Proportional to 865.37, 1,194.08 and 492.23

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Solution

The fourth proportional to 865.37, 1,194.08 and 492.23 is: 679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.37 : 1,194.08 = 492.23 : x
  2. Step 2: Convert to fraction form
    865.37/1,194.08 = 492.23/x
  3. Step 3: Cross multiply
    865.37x = 1,194.08 × 492.23
  4. Step 4: Simplify right side
    865.37x = 587,753.57
  5. Step 5: Solve for x
    x = 587,753.57/865.37
  6. Step 6: Final answer
    x = 679.20

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1.5x scale

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.