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Finding the Fourth Proportional to 679.26, 1,019.16 and 419.40

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Solution

The fourth proportional to 679.26, 1,019.16 and 419.40 is: 629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.26 : 1,019.16 = 419.40 : x
  2. Step 2: Convert to fraction form
    679.26/1,019.16 = 419.40/x
  3. Step 3: Cross multiply
    679.26x = 1,019.16 × 419.40
  4. Step 4: Simplify right side
    679.26x = 427,435.70
  5. Step 5: Solve for x
    x = 427,435.70/679.26
  6. Step 6: Final answer
    x = 629.27

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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.