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Finding the Fourth Proportional to 575.56, 863.27 and 164.69

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Solution

The fourth proportional to 575.56, 863.27 and 164.69 is: 247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.56 : 863.27 = 164.69 : x
  2. Step 2: Convert to fraction form
    575.56/863.27 = 164.69/x
  3. Step 3: Cross multiply
    575.56x = 863.27 × 164.69
  4. Step 4: Simplify right side
    575.56x = 142,171.94
  5. Step 5: Solve for x
    x = 142,171.94/575.56
  6. Step 6: Final answer
    x = 247.01

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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.