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Finding the Fourth Proportional to 1,294.48, 1,949.41 and 1,165.99

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Solution

The fourth proportional to 1,294.48, 1,949.41 and 1,165.99 is: 1,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.48 : 1,949.41 = 1,165.99 : x
  2. Step 2: Convert to fraction form
    1,294.48/1,949.41 = 1,165.99/x
  3. Step 3: Cross multiply
    1,294.48x = 1,949.41 × 1,165.99
  4. Step 4: Simplify right side
    1,294.48x = 2,272,992.57
  5. Step 5: Solve for x
    x = 2,272,992.57/1,294.48
  6. Step 6: Final answer
    x = 1,755.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.