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Finding the Fourth Proportional to 482.05, 664.91 and 334.58

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Solution

The fourth proportional to 482.05, 664.91 and 334.58 is: 461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.05 : 664.91 = 334.58 : x
  2. Step 2: Convert to fraction form
    482.05/664.91 = 334.58/x
  3. Step 3: Cross multiply
    482.05x = 664.91 × 334.58
  4. Step 4: Simplify right side
    482.05x = 222,465.59
  5. Step 5: Solve for x
    x = 222,465.59/482.05
  6. Step 6: Final answer
    x = 461.50

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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.