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Finding the Fourth Proportional to 1,180.50, 1,629.08 and 683.14

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Solution

The fourth proportional to 1,180.50, 1,629.08 and 683.14 is: 942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.50 : 1,629.08 = 683.14 : x
  2. Step 2: Convert to fraction form
    1,180.50/1,629.08 = 683.14/x
  3. Step 3: Cross multiply
    1,180.50x = 1,629.08 × 683.14
  4. Step 4: Simplify right side
    1,180.50x = 1,112,889.71
  5. Step 5: Solve for x
    x = 1,112,889.71/1,180.50
  6. Step 6: Final answer
    x = 942.73

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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.