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Finding the Fourth Proportional to 685.57, 1,027.72 and 274.45

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Solution

The fourth proportional to 685.57, 1,027.72 and 274.45 is: 411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.57 : 1,027.72 = 274.45 : x
  2. Step 2: Convert to fraction form
    685.57/1,027.72 = 274.45/x
  3. Step 3: Cross multiply
    685.57x = 1,027.72 × 274.45
  4. Step 4: Simplify right side
    685.57x = 282,057.75
  5. Step 5: Solve for x
    x = 282,057.75/685.57
  6. Step 6: Final answer
    x = 411.42

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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.