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Finding the Fourth Proportional to 1,371.70, 1,893.07 and 782.43

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Solution

The fourth proportional to 1,371.70, 1,893.07 and 782.43 is: 1,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.70 : 1,893.07 = 782.43 : x
  2. Step 2: Convert to fraction form
    1,371.70/1,893.07 = 782.43/x
  3. Step 3: Cross multiply
    1,371.70x = 1,893.07 × 782.43
  4. Step 4: Simplify right side
    1,371.70x = 1,481,194.76
  5. Step 5: Solve for x
    x = 1,481,194.76/1,371.70
  6. Step 6: Final answer
    x = 1,079.82

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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.