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Finding the Fourth Proportional to 1,396.14, 1,926.66 and 775.14

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Solution

The fourth proportional to 1,396.14, 1,926.66 and 775.14 is: 1,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.14 : 1,926.66 = 775.14 : x
  2. Step 2: Convert to fraction form
    1,396.14/1,926.66 = 775.14/x
  3. Step 3: Cross multiply
    1,396.14x = 1,926.66 × 775.14
  4. Step 4: Simplify right side
    1,396.14x = 1,493,431.23
  5. Step 5: Solve for x
    x = 1,493,431.23/1,396.14
  6. Step 6: Final answer
    x = 1,069.69

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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.