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Finding the Fourth Proportional to 1,396.54, 1,926.99 and 806.95

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Solution

The fourth proportional to 1,396.54, 1,926.99 and 806.95 is: 1,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.54 : 1,926.99 = 806.95 : x
  2. Step 2: Convert to fraction form
    1,396.54/1,926.99 = 806.95/x
  3. Step 3: Cross multiply
    1,396.54x = 1,926.99 × 806.95
  4. Step 4: Simplify right side
    1,396.54x = 1,554,984.58
  5. Step 5: Solve for x
    x = 1,554,984.58/1,396.54
  6. Step 6: Final answer
    x = 1,113.46

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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.