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Finding the Fourth Proportional to 1,321.91, 1,824.22 and 732.46

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Solution

The fourth proportional to 1,321.91, 1,824.22 and 732.46 is: 1,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.91 : 1,824.22 = 732.46 : x
  2. Step 2: Convert to fraction form
    1,321.91/1,824.22 = 732.46/x
  3. Step 3: Cross multiply
    1,321.91x = 1,824.22 × 732.46
  4. Step 4: Simplify right side
    1,321.91x = 1,336,168.18
  5. Step 5: Solve for x
    x = 1,336,168.18/1,321.91
  6. Step 6: Final answer
    x = 1,010.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.