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Finding the Fourth Proportional to 1,448.54, 1,998.97 and 785.38

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Solution

The fourth proportional to 1,448.54, 1,998.97 and 785.38 is: 1,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.54 : 1,998.97 = 785.38 : x
  2. Step 2: Convert to fraction form
    1,448.54/1,998.97 = 785.38/x
  3. Step 3: Cross multiply
    1,448.54x = 1,998.97 × 785.38
  4. Step 4: Simplify right side
    1,448.54x = 1,569,951.06
  5. Step 5: Solve for x
    x = 1,569,951.06/1,448.54
  6. Step 6: Final answer
    x = 1,083.82

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1.5x scale

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.