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Finding the Fourth Proportional to 1,208.80, 1,808.61 and 798.94

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Solution

The fourth proportional to 1,208.80, 1,808.61 and 798.94 is: 1,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.80 : 1,808.61 = 798.94 : x
  2. Step 2: Convert to fraction form
    1,208.80/1,808.61 = 798.94/x
  3. Step 3: Cross multiply
    1,208.80x = 1,808.61 × 798.94
  4. Step 4: Simplify right side
    1,208.80x = 1,444,970.87
  5. Step 5: Solve for x
    x = 1,444,970.87/1,208.80
  6. Step 6: Final answer
    x = 1,195.38

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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.