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Finding the Fourth Proportional to 1,448.78, 1,998.92 and 859.04

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Solution

The fourth proportional to 1,448.78, 1,998.92 and 859.04 is: 1,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.78 : 1,998.92 = 859.04 : x
  2. Step 2: Convert to fraction form
    1,448.78/1,998.92 = 859.04/x
  3. Step 3: Cross multiply
    1,448.78x = 1,998.92 × 859.04
  4. Step 4: Simplify right side
    1,448.78x = 1,717,137.95
  5. Step 5: Solve for x
    x = 1,717,137.95/1,448.78
  6. Step 6: Final answer
    x = 1,185.23

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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.