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Finding the Fourth Proportional to 482.68, 664.50 and 408.88

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Solution

The fourth proportional to 482.68, 664.50 and 408.88 is: 562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.68 : 664.50 = 408.88 : x
  2. Step 2: Convert to fraction form
    482.68/664.50 = 408.88/x
  3. Step 3: Cross multiply
    482.68x = 664.50 × 408.88
  4. Step 4: Simplify right side
    482.68x = 271,700.76
  5. Step 5: Solve for x
    x = 271,700.76/482.68
  6. Step 6: Final answer
    x = 562.90

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Why These Related Problems?

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