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Finding the Fourth Proportional to 464.26, 638.06 and 451.30

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Solution

The fourth proportional to 464.26, 638.06 and 451.30 is: 620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.26 : 638.06 = 451.30 : x
  2. Step 2: Convert to fraction form
    464.26/638.06 = 451.30/x
  3. Step 3: Cross multiply
    464.26x = 638.06 × 451.30
  4. Step 4: Simplify right side
    464.26x = 287,956.48
  5. Step 5: Solve for x
    x = 287,956.48/464.26
  6. Step 6: Final answer
    x = 620.25

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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.