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Finding the Fourth Proportional to 453.06, 676.27 and 414.60

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Solution

The fourth proportional to 453.06, 676.27 and 414.60 is: 618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.06 : 676.27 = 414.60 : x
  2. Step 2: Convert to fraction form
    453.06/676.27 = 414.60/x
  3. Step 3: Cross multiply
    453.06x = 676.27 × 414.60
  4. Step 4: Simplify right side
    453.06x = 280,381.54
  5. Step 5: Solve for x
    x = 280,381.54/453.06
  6. Step 6: Final answer
    x = 618.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.