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Finding the Fourth Proportional to 464.57, 644.45 and 439.97

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Solution

The fourth proportional to 464.57, 644.45 and 439.97 is: 610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.57 : 644.45 = 439.97 : x
  2. Step 2: Convert to fraction form
    464.57/644.45 = 439.97/x
  3. Step 3: Cross multiply
    464.57x = 644.45 × 439.97
  4. Step 4: Simplify right side
    464.57x = 283,538.67
  5. Step 5: Solve for x
    x = 283,538.67/464.57
  6. Step 6: Final answer
    x = 610.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.