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Finding the Fourth Proportional to 1,180.18, 1,628.64 and 682.80

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Solution

The fourth proportional to 1,180.18, 1,628.64 and 682.80 is: 942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.18 : 1,628.64 = 682.80 : x
  2. Step 2: Convert to fraction form
    1,180.18/1,628.64 = 682.80/x
  3. Step 3: Cross multiply
    1,180.18x = 1,628.64 × 682.80
  4. Step 4: Simplify right side
    1,180.18x = 1,112,035.39
  5. Step 5: Solve for x
    x = 1,112,035.39/1,180.18
  6. Step 6: Final answer
    x = 942.26

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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.