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Finding the Fourth Proportional to 1,448.66, 1,999.13 and 785.51

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Solution

The fourth proportional to 1,448.66, 1,999.13 and 785.51 is: 1,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.66 : 1,999.13 = 785.51 : x
  2. Step 2: Convert to fraction form
    1,448.66/1,999.13 = 785.51/x
  3. Step 3: Cross multiply
    1,448.66x = 1,999.13 × 785.51
  4. Step 4: Simplify right side
    1,448.66x = 1,570,322.68
  5. Step 5: Solve for x
    x = 1,570,322.68/1,448.66
  6. Step 6: Final answer
    x = 1,083.99

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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.