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Finding the Fourth Proportional to 1,679.44, 2,317.42 and 1,016.60

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Solution

The fourth proportional to 1,679.44, 2,317.42 and 1,016.60 is: 1,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.44 : 2,317.42 = 1,016.60 : x
  2. Step 2: Convert to fraction form
    1,679.44/2,317.42 = 1,016.60/x
  3. Step 3: Cross multiply
    1,679.44x = 2,317.42 × 1,016.60
  4. Step 4: Simplify right side
    1,679.44x = 2,355,889.17
  5. Step 5: Solve for x
    x = 2,355,889.17/1,679.44
  6. Step 6: Final answer
    x = 1,402.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.