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Finding the Fourth Proportional to 857.94, 1,286.78 and 272.87

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Solution

The fourth proportional to 857.94, 1,286.78 and 272.87 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.94 : 1,286.78 = 272.87 : x
  2. Step 2: Convert to fraction form
    857.94/1,286.78 = 272.87/x
  3. Step 3: Cross multiply
    857.94x = 1,286.78 × 272.87
  4. Step 4: Simplify right side
    857.94x = 351,119.76
  5. Step 5: Solve for x
    x = 351,119.76/857.94
  6. Step 6: Final answer
    x = 409.26

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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.