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Finding the Fourth Proportional to 685.11, 1,027.67 and 582.15

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Solution

The fourth proportional to 685.11, 1,027.67 and 582.15 is: 873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.11 : 1,027.67 = 582.15 : x
  2. Step 2: Convert to fraction form
    685.11/1,027.67 = 582.15/x
  3. Step 3: Cross multiply
    685.11x = 1,027.67 × 582.15
  4. Step 4: Simplify right side
    685.11x = 598,255.18
  5. Step 5: Solve for x
    x = 598,255.18/685.11
  6. Step 6: Final answer
    x = 873.23

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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.