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Finding the Fourth Proportional to 464.33, 641.52 and 412.09

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Solution

The fourth proportional to 464.33, 641.52 and 412.09 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.33 : 641.52 = 412.09 : x
  2. Step 2: Convert to fraction form
    464.33/641.52 = 412.09/x
  3. Step 3: Cross multiply
    464.33x = 641.52 × 412.09
  4. Step 4: Simplify right side
    464.33x = 264,362.37
  5. Step 5: Solve for x
    x = 264,362.37/464.33
  6. Step 6: Final answer
    x = 569.34

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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.