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Finding the Fourth Proportional to 482.80, 725.74 and 449

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Solution

The fourth proportional to 482.80, 725.74 and 449 is: 674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.80 : 725.74 = 449 : x
  2. Step 2: Convert to fraction form
    482.80/725.74 = 449/x
  3. Step 3: Cross multiply
    482.80x = 725.74 × 449
  4. Step 4: Simplify right side
    482.80x = 325,857.26
  5. Step 5: Solve for x
    x = 325,857.26/482.80
  6. Step 6: Final answer
    x = 674.93

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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.