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Finding the Fourth Proportional to 859.42, 1,287.34 and 712.83

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Solution

The fourth proportional to 859.42, 1,287.34 and 712.83 is: 1,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.42 : 1,287.34 = 712.83 : x
  2. Step 2: Convert to fraction form
    859.42/1,287.34 = 712.83/x
  3. Step 3: Cross multiply
    859.42x = 1,287.34 × 712.83
  4. Step 4: Simplify right side
    859.42x = 917,654.57
  5. Step 5: Solve for x
    x = 917,654.57/859.42
  6. Step 6: Final answer
    x = 1,067.76

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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.