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Finding the Fourth Proportional to 537.69, 809.49 and 493.05

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Solution

The fourth proportional to 537.69, 809.49 and 493.05 is: 742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.69 : 809.49 = 493.05 : x
  2. Step 2: Convert to fraction form
    537.69/809.49 = 493.05/x
  3. Step 3: Cross multiply
    537.69x = 809.49 × 493.05
  4. Step 4: Simplify right side
    537.69x = 399,119.04
  5. Step 5: Solve for x
    x = 399,119.04/537.69
  6. Step 6: Final answer
    x = 742.28

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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.