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Finding the Fourth Proportional to 859.14, 1,288.38 and 311.28

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Solution

The fourth proportional to 859.14, 1,288.38 and 311.28 is: 466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.14 : 1,288.38 = 311.28 : x
  2. Step 2: Convert to fraction form
    859.14/1,288.38 = 311.28/x
  3. Step 3: Cross multiply
    859.14x = 1,288.38 × 311.28
  4. Step 4: Simplify right side
    859.14x = 401,046.93
  5. Step 5: Solve for x
    x = 401,046.93/859.14
  6. Step 6: Final answer
    x = 466.80

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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.