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Finding the Fourth Proportional to 859.46, 1,286.90 and 685.31

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Solution

The fourth proportional to 859.46, 1,286.90 and 685.31 is: 1,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.46 : 1,286.90 = 685.31 : x
  2. Step 2: Convert to fraction form
    859.46/1,286.90 = 685.31/x
  3. Step 3: Cross multiply
    859.46x = 1,286.90 × 685.31
  4. Step 4: Simplify right side
    859.46x = 881,922.01
  5. Step 5: Solve for x
    x = 881,922.01/859.46
  6. Step 6: Final answer
    x = 1,026.14

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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.