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Finding the Fourth Proportional to 1,448.85, 1,999.42 and 785.71

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Solution

The fourth proportional to 1,448.85, 1,999.42 and 785.71 is: 1,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.85 : 1,999.42 = 785.71 : x
  2. Step 2: Convert to fraction form
    1,448.85/1,999.42 = 785.71/x
  3. Step 3: Cross multiply
    1,448.85x = 1,999.42 × 785.71
  4. Step 4: Simplify right side
    1,448.85x = 1,570,959.20
  5. Step 5: Solve for x
    x = 1,570,959.20/1,448.85
  6. Step 6: Final answer
    x = 1,084.28

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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.