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Finding the Fourth Proportional to 453.12, 676.60 and 440.82

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Solution

The fourth proportional to 453.12, 676.60 and 440.82 is: 658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.12 : 676.60 = 440.82 : x
  2. Step 2: Convert to fraction form
    453.12/676.60 = 440.82/x
  3. Step 3: Cross multiply
    453.12x = 676.60 × 440.82
  4. Step 4: Simplify right side
    453.12x = 298,258.29
  5. Step 5: Solve for x
    x = 298,258.29/453.12
  6. Step 6: Final answer
    x = 658.23

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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.