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Finding the Fourth Proportional to 685.06, 1,027.64 and 246.27

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Solution

The fourth proportional to 685.06, 1,027.64 and 246.27 is: 369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.06 : 1,027.64 = 246.27 : x
  2. Step 2: Convert to fraction form
    685.06/1,027.64 = 246.27/x
  3. Step 3: Cross multiply
    685.06x = 1,027.64 × 246.27
  4. Step 4: Simplify right side
    685.06x = 253,076.90
  5. Step 5: Solve for x
    x = 253,076.90/685.06
  6. Step 6: Final answer
    x = 369.42

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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.