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Finding the Fourth Proportional to 616.11, 849.75 and 395.09

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Solution

The fourth proportional to 616.11, 849.75 and 395.09 is: 544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.11 : 849.75 = 395.09 : x
  2. Step 2: Convert to fraction form
    616.11/849.75 = 395.09/x
  3. Step 3: Cross multiply
    616.11x = 849.75 × 395.09
  4. Step 4: Simplify right side
    616.11x = 335,723.48
  5. Step 5: Solve for x
    x = 335,723.48/616.11
  6. Step 6: Final answer
    x = 544.91

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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.