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Finding the Fourth Proportional to 804.52, 1,107.84 and 699.49

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Solution

The fourth proportional to 804.52, 1,107.84 and 699.49 is: 963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.52 : 1,107.84 = 699.49 : x
  2. Step 2: Convert to fraction form
    804.52/1,107.84 = 699.49/x
  3. Step 3: Cross multiply
    804.52x = 1,107.84 × 699.49
  4. Step 4: Simplify right side
    804.52x = 774,923.00
  5. Step 5: Solve for x
    x = 774,923.00/804.52
  6. Step 6: Final answer
    x = 963.21

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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.