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Finding the Fourth Proportional to 1,396.36, 1,926.96 and 758.31

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Solution

The fourth proportional to 1,396.36, 1,926.96 and 758.31 is: 1,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.36 : 1,926.96 = 758.31 : x
  2. Step 2: Convert to fraction form
    1,396.36/1,926.96 = 758.31/x
  3. Step 3: Cross multiply
    1,396.36x = 1,926.96 × 758.31
  4. Step 4: Simplify right side
    1,396.36x = 1,461,228.88
  5. Step 5: Solve for x
    x = 1,461,228.88/1,396.36
  6. Step 6: Final answer
    x = 1,046.46

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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.