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Finding the Fourth Proportional to 441.30, 664.50 and 393

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Solution

The fourth proportional to 441.30, 664.50 and 393 is: 591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.30 : 664.50 = 393 : x
  2. Step 2: Convert to fraction form
    441.30/664.50 = 393/x
  3. Step 3: Cross multiply
    441.30x = 664.50 × 393
  4. Step 4: Simplify right side
    441.30x = 261,148.50
  5. Step 5: Solve for x
    x = 261,148.50/441.30
  6. Step 6: Final answer
    x = 591.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.