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Finding the Fourth Proportional to 1,448.99, 1,999.62 and 785.84

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Solution

The fourth proportional to 1,448.99, 1,999.62 and 785.84 is: 1,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.99 : 1,999.62 = 785.84 : x
  2. Step 2: Convert to fraction form
    1,448.99/1,999.62 = 785.84/x
  3. Step 3: Cross multiply
    1,448.99x = 1,999.62 × 785.84
  4. Step 4: Simplify right side
    1,448.99x = 1,571,377.45
  5. Step 5: Solve for x
    x = 1,571,377.45/1,448.99
  6. Step 6: Final answer
    x = 1,084.47

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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.