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Finding the Fourth Proportional to 683.46, 1,018.62 and 669.80

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Solution

The fourth proportional to 683.46, 1,018.62 and 669.80 is: 998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.46 : 1,018.62 = 669.80 : x
  2. Step 2: Convert to fraction form
    683.46/1,018.62 = 669.80/x
  3. Step 3: Cross multiply
    683.46x = 1,018.62 × 669.80
  4. Step 4: Simplify right side
    683.46x = 682,274.22
  5. Step 5: Solve for x
    x = 682,274.22/683.46
  6. Step 6: Final answer
    x = 998.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.