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Finding the Fourth Proportional to 1,199.77, 1,798.94 and 809.75

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Solution

The fourth proportional to 1,199.77, 1,798.94 and 809.75 is: 1,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.77 : 1,798.94 = 809.75 : x
  2. Step 2: Convert to fraction form
    1,199.77/1,798.94 = 809.75/x
  3. Step 3: Cross multiply
    1,199.77x = 1,798.94 × 809.75
  4. Step 4: Simplify right side
    1,199.77x = 1,456,698.19
  5. Step 5: Solve for x
    x = 1,456,698.19/1,199.77
  6. Step 6: Final answer
    x = 1,214.15

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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.