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Finding the Fourth Proportional to 482.60, 664.44 and 408.80

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Solution

The fourth proportional to 482.60, 664.44 and 408.80 is: 562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.60 : 664.44 = 408.80 : x
  2. Step 2: Convert to fraction form
    482.60/664.44 = 408.80/x
  3. Step 3: Cross multiply
    482.60x = 664.44 × 408.80
  4. Step 4: Simplify right side
    482.60x = 271,623.07
  5. Step 5: Solve for x
    x = 271,623.07/482.60
  6. Step 6: Final answer
    x = 562.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.