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Finding the Fourth Proportional to 859.28, 1,286.87 and 816.23

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Solution

The fourth proportional to 859.28, 1,286.87 and 816.23 is: 1,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.28 : 1,286.87 = 816.23 : x
  2. Step 2: Convert to fraction form
    859.28/1,286.87 = 816.23/x
  3. Step 3: Cross multiply
    859.28x = 1,286.87 × 816.23
  4. Step 4: Simplify right side
    859.28x = 1,050,381.04
  5. Step 5: Solve for x
    x = 1,050,381.04/859.28
  6. Step 6: Final answer
    x = 1,222.40

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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.