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Finding the Fourth Proportional to 464.36, 639.35 and 394.27

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Solution

The fourth proportional to 464.36, 639.35 and 394.27 is: 542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.36 : 639.35 = 394.27 : x
  2. Step 2: Convert to fraction form
    464.36/639.35 = 394.27/x
  3. Step 3: Cross multiply
    464.36x = 639.35 × 394.27
  4. Step 4: Simplify right side
    464.36x = 252,076.52
  5. Step 5: Solve for x
    x = 252,076.52/464.36
  6. Step 6: Final answer
    x = 542.85

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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.