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Finding the Fourth Proportional to 1,799.33, 2,697.75 and 628.79

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Solution

The fourth proportional to 1,799.33, 2,697.75 and 628.79 is: 942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.33 : 2,697.75 = 628.79 : x
  2. Step 2: Convert to fraction form
    1,799.33/2,697.75 = 628.79/x
  3. Step 3: Cross multiply
    1,799.33x = 2,697.75 × 628.79
  4. Step 4: Simplify right side
    1,799.33x = 1,696,304.73
  5. Step 5: Solve for x
    x = 1,696,304.73/1,799.33
  6. Step 6: Final answer
    x = 942.75

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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.