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Finding the Fourth Proportional to 1,180, 1,628.50 and 682.78

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Solution

The fourth proportional to 1,180, 1,628.50 and 682.78 is: 942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180 : 1,628.50 = 682.78 : x
  2. Step 2: Convert to fraction form
    1,180/1,628.50 = 682.78/x
  3. Step 3: Cross multiply
    1,180x = 1,628.50 × 682.78
  4. Step 4: Simplify right side
    1,180x = 1,111,907.23
  5. Step 5: Solve for x
    x = 1,111,907.23/1,180
  6. Step 6: Final answer
    x = 942.29

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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.