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Finding the Fourth Proportional to 615.78, 849.56 and 394.83

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Solution

The fourth proportional to 615.78, 849.56 and 394.83 is: 544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.78 : 849.56 = 394.83 : x
  2. Step 2: Convert to fraction form
    615.78/849.56 = 394.83/x
  3. Step 3: Cross multiply
    615.78x = 849.56 × 394.83
  4. Step 4: Simplify right side
    615.78x = 335,429.80
  5. Step 5: Solve for x
    x = 335,429.80/615.78
  6. Step 6: Final answer
    x = 544.72

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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.