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Finding the Fourth Proportional to 685.08, 1,027.74 and 411.18

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Solution

The fourth proportional to 685.08, 1,027.74 and 411.18 is: 616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.08 : 1,027.74 = 411.18 : x
  2. Step 2: Convert to fraction form
    685.08/1,027.74 = 411.18/x
  3. Step 3: Cross multiply
    685.08x = 1,027.74 × 411.18
  4. Step 4: Simplify right side
    685.08x = 422,586.13
  5. Step 5: Solve for x
    x = 422,586.13/685.08
  6. Step 6: Final answer
    x = 616.84

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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.