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Finding the Fourth Proportional to 484.88, 725.28 and 409.82

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Solution

The fourth proportional to 484.88, 725.28 and 409.82 is: 613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.88 : 725.28 = 409.82 : x
  2. Step 2: Convert to fraction form
    484.88/725.28 = 409.82/x
  3. Step 3: Cross multiply
    484.88x = 725.28 × 409.82
  4. Step 4: Simplify right side
    484.88x = 297,234.25
  5. Step 5: Solve for x
    x = 297,234.25/484.88
  6. Step 6: Final answer
    x = 613.01

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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.