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Finding the Fourth Proportional to 859.14, 1,287.79 and 396.23

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Solution

The fourth proportional to 859.14, 1,287.79 and 396.23 is: 593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.14 : 1,287.79 = 396.23 : x
  2. Step 2: Convert to fraction form
    859.14/1,287.79 = 396.23/x
  3. Step 3: Cross multiply
    859.14x = 1,287.79 × 396.23
  4. Step 4: Simplify right side
    859.14x = 510,253.60
  5. Step 5: Solve for x
    x = 510,253.60/859.14
  6. Step 6: Final answer
    x = 593.91

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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.