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Finding the Fourth Proportional to 537.28, 809.85 and 491.11

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Solution

The fourth proportional to 537.28, 809.85 and 491.11 is: 740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.28 : 809.85 = 491.11 : x
  2. Step 2: Convert to fraction form
    537.28/809.85 = 491.11/x
  3. Step 3: Cross multiply
    537.28x = 809.85 × 491.11
  4. Step 4: Simplify right side
    537.28x = 397,725.25
  5. Step 5: Solve for x
    x = 397,725.25/537.28
  6. Step 6: Final answer
    x = 740.26

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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.