Home / 1,214.49-1,821.72-727.68

Finding the Fourth Proportional to 1,214.49, 1,821.72 and 727.68

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Solution

The fourth proportional to 1,214.49, 1,821.72 and 727.68 is: 1,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.49 : 1,821.72 = 727.68 : x
  2. Step 2: Convert to fraction form
    1,214.49/1,821.72 = 727.68/x
  3. Step 3: Cross multiply
    1,214.49x = 1,821.72 × 727.68
  4. Step 4: Simplify right side
    1,214.49x = 1,325,629.21
  5. Step 5: Solve for x
    x = 1,325,629.21/1,214.49
  6. Step 6: Final answer
    x = 1,091.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.