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Finding the Fourth Proportional to 1,371.99, 1,893.29 and 782.71

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Solution

The fourth proportional to 1,371.99, 1,893.29 and 782.71 is: 1,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.99 : 1,893.29 = 782.71 : x
  2. Step 2: Convert to fraction form
    1,371.99/1,893.29 = 782.71/x
  3. Step 3: Cross multiply
    1,371.99x = 1,893.29 × 782.71
  4. Step 4: Simplify right side
    1,371.99x = 1,481,897.02
  5. Step 5: Solve for x
    x = 1,481,897.02/1,371.99
  6. Step 6: Final answer
    x = 1,080.11

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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.