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Finding the Fourth Proportional to 679.22, 1,018.79 and 419.27

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Solution

The fourth proportional to 679.22, 1,018.79 and 419.27 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.22 : 1,018.79 = 419.27 : x
  2. Step 2: Convert to fraction form
    679.22/1,018.79 = 419.27/x
  3. Step 3: Cross multiply
    679.22x = 1,018.79 × 419.27
  4. Step 4: Simplify right side
    679.22x = 427,140.89
  5. Step 5: Solve for x
    x = 427,140.89/679.22
  6. Step 6: Final answer
    x = 628.87

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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.