Home / 1,448.12-1,998.40-784.96

Finding the Fourth Proportional to 1,448.12, 1,998.40 and 784.96

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Solution

The fourth proportional to 1,448.12, 1,998.40 and 784.96 is: 1,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.12 : 1,998.40 = 784.96 : x
  2. Step 2: Convert to fraction form
    1,448.12/1,998.40 = 784.96/x
  3. Step 3: Cross multiply
    1,448.12x = 1,998.40 × 784.96
  4. Step 4: Simplify right side
    1,448.12x = 1,568,664.06
  5. Step 5: Solve for x
    x = 1,568,664.06/1,448.12
  6. Step 6: Final answer
    x = 1,083.24

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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.