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Finding the Fourth Proportional to 855.75, 1,286.03 and 509.14

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Solution

The fourth proportional to 855.75, 1,286.03 and 509.14 is: 765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.75 : 1,286.03 = 509.14 : x
  2. Step 2: Convert to fraction form
    855.75/1,286.03 = 509.14/x
  3. Step 3: Cross multiply
    855.75x = 1,286.03 × 509.14
  4. Step 4: Simplify right side
    855.75x = 654,769.31
  5. Step 5: Solve for x
    x = 654,769.31/855.75
  6. Step 6: Final answer
    x = 765.14

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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.