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Finding the Fourth Proportional to 615.71, 849.20 and 394.68

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Solution

The fourth proportional to 615.71, 849.20 and 394.68 is: 544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.71 : 849.20 = 394.68 : x
  2. Step 2: Convert to fraction form
    615.71/849.20 = 394.68/x
  3. Step 3: Cross multiply
    615.71x = 849.20 × 394.68
  4. Step 4: Simplify right side
    615.71x = 335,163.24
  5. Step 5: Solve for x
    x = 335,163.24/615.71
  6. Step 6: Final answer
    x = 544.35

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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.