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Finding the Fourth Proportional to 869.46, 1,305.54 and 733.56

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Solution

The fourth proportional to 869.46, 1,305.54 and 733.56 is: 1,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.46 : 1,305.54 = 733.56 : x
  2. Step 2: Convert to fraction form
    869.46/1,305.54 = 733.56/x
  3. Step 3: Cross multiply
    869.46x = 1,305.54 × 733.56
  4. Step 4: Simplify right side
    869.46x = 957,691.92
  5. Step 5: Solve for x
    x = 957,691.92/869.46
  6. Step 6: Final answer
    x = 1,101.48

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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.