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Finding the Fourth Proportional to 721.63, 1,083.11 and 331.84

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Solution

The fourth proportional to 721.63, 1,083.11 and 331.84 is: 498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.63 : 1,083.11 = 331.84 : x
  2. Step 2: Convert to fraction form
    721.63/1,083.11 = 331.84/x
  3. Step 3: Cross multiply
    721.63x = 1,083.11 × 331.84
  4. Step 4: Simplify right side
    721.63x = 359,419.22
  5. Step 5: Solve for x
    x = 359,419.22/721.63
  6. Step 6: Final answer
    x = 498.07

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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.