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Finding the Fourth Proportional to 856.26, 1,286.78 and 509.64

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Solution

The fourth proportional to 856.26, 1,286.78 and 509.64 is: 765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.26 : 1,286.78 = 509.64 : x
  2. Step 2: Convert to fraction form
    856.26/1,286.78 = 509.64/x
  3. Step 3: Cross multiply
    856.26x = 1,286.78 × 509.64
  4. Step 4: Simplify right side
    856.26x = 655,792.01
  5. Step 5: Solve for x
    x = 655,792.01/856.26
  6. Step 6: Final answer
    x = 765.88

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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.