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Finding the Fourth Proportional to 453.56, 676.41 and 442.52

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Solution

The fourth proportional to 453.56, 676.41 and 442.52 is: 659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.56 : 676.41 = 442.52 : x
  2. Step 2: Convert to fraction form
    453.56/676.41 = 442.52/x
  3. Step 3: Cross multiply
    453.56x = 676.41 × 442.52
  4. Step 4: Simplify right side
    453.56x = 299,324.95
  5. Step 5: Solve for x
    x = 299,324.95/453.56
  6. Step 6: Final answer
    x = 659.95

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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.