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Finding the Fourth Proportional to 679.82, 1,020.73 and 419.06

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Solution

The fourth proportional to 679.82, 1,020.73 and 419.06 is: 629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.82 : 1,020.73 = 419.06 : x
  2. Step 2: Convert to fraction form
    679.82/1,020.73 = 419.06/x
  3. Step 3: Cross multiply
    679.82x = 1,020.73 × 419.06
  4. Step 4: Simplify right side
    679.82x = 427,748.62
  5. Step 5: Solve for x
    x = 427,748.62/679.82
  6. Step 6: Final answer
    x = 629.21

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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.