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Finding the Fourth Proportional to 892.32, 1,344.57 and 733.56

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Solution

The fourth proportional to 892.32, 1,344.57 and 733.56 is: 1,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.32 : 1,344.57 = 733.56 : x
  2. Step 2: Convert to fraction form
    892.32/1,344.57 = 733.56/x
  3. Step 3: Cross multiply
    892.32x = 1,344.57 × 733.56
  4. Step 4: Simplify right side
    892.32x = 986,322.77
  5. Step 5: Solve for x
    x = 986,322.77/892.32
  6. Step 6: Final answer
    x = 1,105.35

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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.