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Finding the Fourth Proportional to 451.41, 676.66 and 418.27

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Solution

The fourth proportional to 451.41, 676.66 and 418.27 is: 626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.41 : 676.66 = 418.27 : x
  2. Step 2: Convert to fraction form
    451.41/676.66 = 418.27/x
  3. Step 3: Cross multiply
    451.41x = 676.66 × 418.27
  4. Step 4: Simplify right side
    451.41x = 283,026.58
  5. Step 5: Solve for x
    x = 283,026.58/451.41
  6. Step 6: Final answer
    x = 626.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.