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Finding the Fourth Proportional to 1,396.31, 1,926.50 and 865.58

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Solution

The fourth proportional to 1,396.31, 1,926.50 and 865.58 is: 1,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.31 : 1,926.50 = 865.58 : x
  2. Step 2: Convert to fraction form
    1,396.31/1,926.50 = 865.58/x
  3. Step 3: Cross multiply
    1,396.31x = 1,926.50 × 865.58
  4. Step 4: Simplify right side
    1,396.31x = 1,667,539.87
  5. Step 5: Solve for x
    x = 1,667,539.87/1,396.31
  6. Step 6: Final answer
    x = 1,194.25

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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.