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Finding the Fourth Proportional to 721.24, 1,081.73 and 234.34

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Solution

The fourth proportional to 721.24, 1,081.73 and 234.34 is: 351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.24 : 1,081.73 = 234.34 : x
  2. Step 2: Convert to fraction form
    721.24/1,081.73 = 234.34/x
  3. Step 3: Cross multiply
    721.24x = 1,081.73 × 234.34
  4. Step 4: Simplify right side
    721.24x = 253,492.61
  5. Step 5: Solve for x
    x = 253,492.61/721.24
  6. Step 6: Final answer
    x = 351.47

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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.