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Finding the Fourth Proportional to 464.26, 637.32 and 398.65

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Solution

The fourth proportional to 464.26, 637.32 and 398.65 is: 547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.26 : 637.32 = 398.65 : x
  2. Step 2: Convert to fraction form
    464.26/637.32 = 398.65/x
  3. Step 3: Cross multiply
    464.26x = 637.32 × 398.65
  4. Step 4: Simplify right side
    464.26x = 254,067.62
  5. Step 5: Solve for x
    x = 254,067.62/464.26
  6. Step 6: Final answer
    x = 547.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.