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Finding the Fourth Proportional to 1,406, 1,940.30 and 785

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Solution

The fourth proportional to 1,406, 1,940.30 and 785 is: 1,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406 : 1,940.30 = 785 : x
  2. Step 2: Convert to fraction form
    1,406/1,940.30 = 785/x
  3. Step 3: Cross multiply
    1,406x = 1,940.30 × 785
  4. Step 4: Simplify right side
    1,406x = 1,523,135.50
  5. Step 5: Solve for x
    x = 1,523,135.50/1,406
  6. Step 6: Final answer
    x = 1,083.31

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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.