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Finding the Fourth Proportional to 685.14, 1,027.74 and 223.22

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Solution

The fourth proportional to 685.14, 1,027.74 and 223.22 is: 334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.14 : 1,027.74 = 223.22 : x
  2. Step 2: Convert to fraction form
    685.14/1,027.74 = 223.22/x
  3. Step 3: Cross multiply
    685.14x = 1,027.74 × 223.22
  4. Step 4: Simplify right side
    685.14x = 229,406.98
  5. Step 5: Solve for x
    x = 229,406.98/685.14
  6. Step 6: Final answer
    x = 334.83

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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.