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Finding the Fourth Proportional to 1,396.71, 2,092.28 and 701.33

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Solution

The fourth proportional to 1,396.71, 2,092.28 and 701.33 is: 1,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.71 : 2,092.28 = 701.33 : x
  2. Step 2: Convert to fraction form
    1,396.71/2,092.28 = 701.33/x
  3. Step 3: Cross multiply
    1,396.71x = 2,092.28 × 701.33
  4. Step 4: Simplify right side
    1,396.71x = 1,467,364.76
  5. Step 5: Solve for x
    x = 1,467,364.76/1,396.71
  6. Step 6: Final answer
    x = 1,050.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.