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Finding the Fourth Proportional to 859.32, 1,288.94 and 311.36

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Solution

The fourth proportional to 859.32, 1,288.94 and 311.36 is: 467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.32 : 1,288.94 = 311.36 : x
  2. Step 2: Convert to fraction form
    859.32/1,288.94 = 311.36/x
  3. Step 3: Cross multiply
    859.32x = 1,288.94 × 311.36
  4. Step 4: Simplify right side
    859.32x = 401,324.36
  5. Step 5: Solve for x
    x = 401,324.36/859.32
  6. Step 6: Final answer
    x = 467.03

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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.