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Finding the Fourth Proportional to 857.96, 1,286.89 and 272.95

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Solution

The fourth proportional to 857.96, 1,286.89 and 272.95 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.96 : 1,286.89 = 272.95 : x
  2. Step 2: Convert to fraction form
    857.96/1,286.89 = 272.95/x
  3. Step 3: Cross multiply
    857.96x = 1,286.89 × 272.95
  4. Step 4: Simplify right side
    857.96x = 351,255.26
  5. Step 5: Solve for x
    x = 351,255.26/857.96
  6. Step 6: Final answer
    x = 409.41

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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.