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Finding the Fourth Proportional to 859.09, 1,286.19 and 614.89

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Solution

The fourth proportional to 859.09, 1,286.19 and 614.89 is: 920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.09 : 1,286.19 = 614.89 : x
  2. Step 2: Convert to fraction form
    859.09/1,286.19 = 614.89/x
  3. Step 3: Cross multiply
    859.09x = 1,286.19 × 614.89
  4. Step 4: Simplify right side
    859.09x = 790,865.37
  5. Step 5: Solve for x
    x = 790,865.37/859.09
  6. Step 6: Final answer
    x = 920.59

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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.