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Finding the Fourth Proportional to 464.44, 639.93 and 398.02

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Solution

The fourth proportional to 464.44, 639.93 and 398.02 is: 548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.44 : 639.93 = 398.02 : x
  2. Step 2: Convert to fraction form
    464.44/639.93 = 398.02/x
  3. Step 3: Cross multiply
    464.44x = 639.93 × 398.02
  4. Step 4: Simplify right side
    464.44x = 254,704.94
  5. Step 5: Solve for x
    x = 254,704.94/464.44
  6. Step 6: Final answer
    x = 548.41

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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.