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Finding the Fourth Proportional to 539.44, 809.16 and 174.25

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Solution

The fourth proportional to 539.44, 809.16 and 174.25 is: 261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.44 : 809.16 = 174.25 : x
  2. Step 2: Convert to fraction form
    539.44/809.16 = 174.25/x
  3. Step 3: Cross multiply
    539.44x = 809.16 × 174.25
  4. Step 4: Simplify right side
    539.44x = 140,996.49
  5. Step 5: Solve for x
    x = 140,996.49/539.44
  6. Step 6: Final answer
    x = 261.38

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.