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Finding the Fourth Proportional to 453.50, 676.13 and 425.96

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Solution

The fourth proportional to 453.50, 676.13 and 425.96 is: 635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.50 : 676.13 = 425.96 : x
  2. Step 2: Convert to fraction form
    453.50/676.13 = 425.96/x
  3. Step 3: Cross multiply
    453.50x = 676.13 × 425.96
  4. Step 4: Simplify right side
    453.50x = 288,002.21
  5. Step 5: Solve for x
    x = 288,002.21/453.50
  6. Step 6: Final answer
    x = 635.07

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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.