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Finding the Fourth Proportional to 1,448.90, 1,999.49 and 785.76

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Solution

The fourth proportional to 1,448.90, 1,999.49 and 785.76 is: 1,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.90 : 1,999.49 = 785.76 : x
  2. Step 2: Convert to fraction form
    1,448.90/1,999.49 = 785.76/x
  3. Step 3: Cross multiply
    1,448.90x = 1,999.49 × 785.76
  4. Step 4: Simplify right side
    1,448.90x = 1,571,115.33
  5. Step 5: Solve for x
    x = 1,571,115.33/1,448.90
  6. Step 6: Final answer
    x = 1,084.35

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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.