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Finding the Fourth Proportional to 1,660.36, 2,290.96 and 1,039

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Solution

The fourth proportional to 1,660.36, 2,290.96 and 1,039 is: 1,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.36 : 2,290.96 = 1,039 : x
  2. Step 2: Convert to fraction form
    1,660.36/2,290.96 = 1,039/x
  3. Step 3: Cross multiply
    1,660.36x = 2,290.96 × 1,039
  4. Step 4: Simplify right side
    1,660.36x = 2,380,307.44
  5. Step 5: Solve for x
    x = 2,380,307.44/1,660.36
  6. Step 6: Final answer
    x = 1,433.61

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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.