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Finding the Fourth Proportional to 721.23, 994.49 and 616.14

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Solution

The fourth proportional to 721.23, 994.49 and 616.14 is: 849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.23 : 994.49 = 616.14 : x
  2. Step 2: Convert to fraction form
    721.23/994.49 = 616.14/x
  3. Step 3: Cross multiply
    721.23x = 994.49 × 616.14
  4. Step 4: Simplify right side
    721.23x = 612,741.99
  5. Step 5: Solve for x
    x = 612,741.99/721.23
  6. Step 6: Final answer
    x = 849.58

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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.