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Finding the Fourth Proportional to 680.89, 1,018.90 and 669.96

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Solution

The fourth proportional to 680.89, 1,018.90 and 669.96 is: 1,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.89 : 1,018.90 = 669.96 : x
  2. Step 2: Convert to fraction form
    680.89/1,018.90 = 669.96/x
  3. Step 3: Cross multiply
    680.89x = 1,018.90 × 669.96
  4. Step 4: Simplify right side
    680.89x = 682,622.24
  5. Step 5: Solve for x
    x = 682,622.24/680.89
  6. Step 6: Final answer
    x = 1,002.54

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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.