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Finding the Fourth Proportional to 538, 806.96 and 172.69

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Solution

The fourth proportional to 538, 806.96 and 172.69 is: 259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538 : 806.96 = 172.69 : x
  2. Step 2: Convert to fraction form
    538/806.96 = 172.69/x
  3. Step 3: Cross multiply
    538x = 806.96 × 172.69
  4. Step 4: Simplify right side
    538x = 139,353.92
  5. Step 5: Solve for x
    x = 139,353.92/538
  6. Step 6: Final answer
    x = 259.02

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