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Finding the Fourth Proportional to 797.27, 1,195.49 and 537.66

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Solution

The fourth proportional to 797.27, 1,195.49 and 537.66 is: 806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.27 : 1,195.49 = 537.66 : x
  2. Step 2: Convert to fraction form
    797.27/1,195.49 = 537.66/x
  3. Step 3: Cross multiply
    797.27x = 1,195.49 × 537.66
  4. Step 4: Simplify right side
    797.27x = 642,768.50
  5. Step 5: Solve for x
    x = 642,768.50/797.27
  6. Step 6: Final answer
    x = 806.22

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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.