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Finding the Fourth Proportional to 859.29, 1,286.64 and 684.78

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Solution

The fourth proportional to 859.29, 1,286.64 and 684.78 is: 1,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.29 : 1,286.64 = 684.78 : x
  2. Step 2: Convert to fraction form
    859.29/1,286.64 = 684.78/x
  3. Step 3: Cross multiply
    859.29x = 1,286.64 × 684.78
  4. Step 4: Simplify right side
    859.29x = 881,065.34
  5. Step 5: Solve for x
    x = 881,065.34/859.29
  6. Step 6: Final answer
    x = 1,025.34

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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.