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Finding the Fourth Proportional to 1,203.41, 1,662.07 and 809.75

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Solution

The fourth proportional to 1,203.41, 1,662.07 and 809.75 is: 1,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.41 : 1,662.07 = 809.75 : x
  2. Step 2: Convert to fraction form
    1,203.41/1,662.07 = 809.75/x
  3. Step 3: Cross multiply
    1,203.41x = 1,662.07 × 809.75
  4. Step 4: Simplify right side
    1,203.41x = 1,345,852.87
  5. Step 5: Solve for x
    x = 1,345,852.87/1,203.41
  6. Step 6: Final answer
    x = 1,118.37

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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.