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Finding the Fourth Proportional to 453.25, 676.37 and 404.65

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Solution

The fourth proportional to 453.25, 676.37 and 404.65 is: 603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.25 : 676.37 = 404.65 : x
  2. Step 2: Convert to fraction form
    453.25/676.37 = 404.65/x
  3. Step 3: Cross multiply
    453.25x = 676.37 × 404.65
  4. Step 4: Simplify right side
    453.25x = 273,691.10
  5. Step 5: Solve for x
    x = 273,691.10/453.25
  6. Step 6: Final answer
    x = 603.84

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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.