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Finding the Fourth Proportional to 452.41, 682.06 and 421.09

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Solution

The fourth proportional to 452.41, 682.06 and 421.09 is: 634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.41 : 682.06 = 421.09 : x
  2. Step 2: Convert to fraction form
    452.41/682.06 = 421.09/x
  3. Step 3: Cross multiply
    452.41x = 682.06 × 421.09
  4. Step 4: Simplify right side
    452.41x = 287,208.65
  5. Step 5: Solve for x
    x = 287,208.65/452.41
  6. Step 6: Final answer
    x = 634.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.