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Finding the Fourth Proportional to 680.56, 1,021.84 and 419.81

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Solution

The fourth proportional to 680.56, 1,021.84 and 419.81 is: 630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.56 : 1,021.84 = 419.81 : x
  2. Step 2: Convert to fraction form
    680.56/1,021.84 = 419.81/x
  3. Step 3: Cross multiply
    680.56x = 1,021.84 × 419.81
  4. Step 4: Simplify right side
    680.56x = 428,972.49
  5. Step 5: Solve for x
    x = 428,972.49/680.56
  6. Step 6: Final answer
    x = 630.33

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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.