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Finding the Fourth Proportional to 451.41, 680.55 and 420.09

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Solution

The fourth proportional to 451.41, 680.55 and 420.09 is: 633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.41 : 680.55 = 420.09 : x
  2. Step 2: Convert to fraction form
    451.41/680.55 = 420.09/x
  3. Step 3: Cross multiply
    451.41x = 680.55 × 420.09
  4. Step 4: Simplify right side
    451.41x = 285,892.25
  5. Step 5: Solve for x
    x = 285,892.25/451.41
  6. Step 6: Final answer
    x = 633.33

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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.