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Finding the Fourth Proportional to 685, 1,027.22 and 246.16

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Solution

The fourth proportional to 685, 1,027.22 and 246.16 is: 369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685 : 1,027.22 = 246.16 : x
  2. Step 2: Convert to fraction form
    685/1,027.22 = 246.16/x
  3. Step 3: Cross multiply
    685x = 1,027.22 × 246.16
  4. Step 4: Simplify right side
    685x = 252,860.48
  5. Step 5: Solve for x
    x = 252,860.48/685
  6. Step 6: Final answer
    x = 369.14

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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.