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Finding the Fourth Proportional to 892.17, 1,344.81 and 855.12

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Solution

The fourth proportional to 892.17, 1,344.81 and 855.12 is: 1,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.17 : 1,344.81 = 855.12 : x
  2. Step 2: Convert to fraction form
    892.17/1,344.81 = 855.12/x
  3. Step 3: Cross multiply
    892.17x = 1,344.81 × 855.12
  4. Step 4: Simplify right side
    892.17x = 1,149,973.93
  5. Step 5: Solve for x
    x = 1,149,973.93/892.17
  6. Step 6: Final answer
    x = 1,288.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.