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Finding the Fourth Proportional to 449, 674.25 and 415.33

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Solution

The fourth proportional to 449, 674.25 and 415.33 is: 623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449 : 674.25 = 415.33 : x
  2. Step 2: Convert to fraction form
    449/674.25 = 415.33/x
  3. Step 3: Cross multiply
    449x = 674.25 × 415.33
  4. Step 4: Simplify right side
    449x = 280,036.25
  5. Step 5: Solve for x
    x = 280,036.25/449
  6. Step 6: Final answer
    x = 623.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.