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Finding the Fourth Proportional to 1,396.27, 1,926.87 and 766.79

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Solution

The fourth proportional to 1,396.27, 1,926.87 and 766.79 is: 1,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.27 : 1,926.87 = 766.79 : x
  2. Step 2: Convert to fraction form
    1,396.27/1,926.87 = 766.79/x
  3. Step 3: Cross multiply
    1,396.27x = 1,926.87 × 766.79
  4. Step 4: Simplify right side
    1,396.27x = 1,477,504.65
  5. Step 5: Solve for x
    x = 1,477,504.65/1,396.27
  6. Step 6: Final answer
    x = 1,058.18

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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.