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Finding the Fourth Proportional to 464.63, 638.82 and 414.38

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Solution

The fourth proportional to 464.63, 638.82 and 414.38 is: 569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 638.82 = 414.38 : x
  2. Step 2: Convert to fraction form
    464.63/638.82 = 414.38/x
  3. Step 3: Cross multiply
    464.63x = 638.82 × 414.38
  4. Step 4: Simplify right side
    464.63x = 264,714.23
  5. Step 5: Solve for x
    x = 264,714.23/464.63
  6. Step 6: Final answer
    x = 569.73

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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.