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Finding the Fourth Proportional to 493.29, 738.54 and 411.28

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Solution

The fourth proportional to 493.29, 738.54 and 411.28 is: 615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.29 : 738.54 = 411.28 : x
  2. Step 2: Convert to fraction form
    493.29/738.54 = 411.28/x
  3. Step 3: Cross multiply
    493.29x = 738.54 × 411.28
  4. Step 4: Simplify right side
    493.29x = 303,744.88
  5. Step 5: Solve for x
    x = 303,744.88/493.29
  6. Step 6: Final answer
    x = 615.75

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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.