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Finding the Fourth Proportional to 1,326.05, 1,990.56 and 839.39

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Solution

The fourth proportional to 1,326.05, 1,990.56 and 839.39 is: 1,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.05 : 1,990.56 = 839.39 : x
  2. Step 2: Convert to fraction form
    1,326.05/1,990.56 = 839.39/x
  3. Step 3: Cross multiply
    1,326.05x = 1,990.56 × 839.39
  4. Step 4: Simplify right side
    1,326.05x = 1,670,856.16
  5. Step 5: Solve for x
    x = 1,670,856.16/1,326.05
  6. Step 6: Final answer
    x = 1,260.03

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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.