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Finding the Fourth Proportional to 679.67, 1,020.86 and 406.29

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Solution

The fourth proportional to 679.67, 1,020.86 and 406.29 is: 610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.67 : 1,020.86 = 406.29 : x
  2. Step 2: Convert to fraction form
    679.67/1,020.86 = 406.29/x
  3. Step 3: Cross multiply
    679.67x = 1,020.86 × 406.29
  4. Step 4: Simplify right side
    679.67x = 414,765.21
  5. Step 5: Solve for x
    x = 414,765.21/679.67
  6. Step 6: Final answer
    x = 610.24

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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.