Home / 1,215.16-1,822.57-727.04

Finding the Fourth Proportional to 1,215.16, 1,822.57 and 727.04

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Solution

The fourth proportional to 1,215.16, 1,822.57 and 727.04 is: 1,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.16 : 1,822.57 = 727.04 : x
  2. Step 2: Convert to fraction form
    1,215.16/1,822.57 = 727.04/x
  3. Step 3: Cross multiply
    1,215.16x = 1,822.57 × 727.04
  4. Step 4: Simplify right side
    1,215.16x = 1,325,084.03
  5. Step 5: Solve for x
    x = 1,325,084.03/1,215.16
  6. Step 6: Final answer
    x = 1,090.46

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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.