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Finding the Fourth Proportional to 809.87, 1,120.25 and 757.63

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Solution

The fourth proportional to 809.87, 1,120.25 and 757.63 is: 1,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.87 : 1,120.25 = 757.63 : x
  2. Step 2: Convert to fraction form
    809.87/1,120.25 = 757.63/x
  3. Step 3: Cross multiply
    809.87x = 1,120.25 × 757.63
  4. Step 4: Simplify right side
    809.87x = 848,735.01
  5. Step 5: Solve for x
    x = 848,735.01/809.87
  6. Step 6: Final answer
    x = 1,047.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.