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Finding the Fourth Proportional to 615.23, 849.31 and 394.31

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Solution

The fourth proportional to 615.23, 849.31 and 394.31 is: 544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.23 : 849.31 = 394.31 : x
  2. Step 2: Convert to fraction form
    615.23/849.31 = 394.31/x
  3. Step 3: Cross multiply
    615.23x = 849.31 × 394.31
  4. Step 4: Simplify right side
    615.23x = 334,891.43
  5. Step 5: Solve for x
    x = 334,891.43/615.23
  6. Step 6: Final answer
    x = 544.34

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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.