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Finding the Fourth Proportional to 1,448.93, 1,999 and 1,309.25

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Solution

The fourth proportional to 1,448.93, 1,999 and 1,309.25 is: 1,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.93 : 1,999 = 1,309.25 : x
  2. Step 2: Convert to fraction form
    1,448.93/1,999 = 1,309.25/x
  3. Step 3: Cross multiply
    1,448.93x = 1,999 × 1,309.25
  4. Step 4: Simplify right side
    1,448.93x = 2,617,190.75
  5. Step 5: Solve for x
    x = 2,617,190.75/1,448.93
  6. Step 6: Final answer
    x = 1,806.29

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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.