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Finding the Fourth Proportional to 679.56, 1,022.41 and 405.84

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Solution

The fourth proportional to 679.56, 1,022.41 and 405.84 is: 610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.56 : 1,022.41 = 405.84 : x
  2. Step 2: Convert to fraction form
    679.56/1,022.41 = 405.84/x
  3. Step 3: Cross multiply
    679.56x = 1,022.41 × 405.84
  4. Step 4: Simplify right side
    679.56x = 414,934.87
  5. Step 5: Solve for x
    x = 414,934.87/679.56
  6. Step 6: Final answer
    x = 610.59

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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.