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Finding the Fourth Proportional to 1,798.09, 2,696.26 and 628.06

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Solution

The fourth proportional to 1,798.09, 2,696.26 and 628.06 is: 941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.09 : 2,696.26 = 628.06 : x
  2. Step 2: Convert to fraction form
    1,798.09/2,696.26 = 628.06/x
  3. Step 3: Cross multiply
    1,798.09x = 2,696.26 × 628.06
  4. Step 4: Simplify right side
    1,798.09x = 1,693,413.06
  5. Step 5: Solve for x
    x = 1,693,413.06/1,798.09
  6. Step 6: Final answer
    x = 941.78

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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.