Home / 1,016.28-1,524.44-323.16

Finding the Fourth Proportional to 1,016.28, 1,524.44 and 323.16

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Solution

The fourth proportional to 1,016.28, 1,524.44 and 323.16 is: 484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.28 : 1,524.44 = 323.16 : x
  2. Step 2: Convert to fraction form
    1,016.28/1,524.44 = 323.16/x
  3. Step 3: Cross multiply
    1,016.28x = 1,524.44 × 323.16
  4. Step 4: Simplify right side
    1,016.28x = 492,638.03
  5. Step 5: Solve for x
    x = 492,638.03/1,016.28
  6. Step 6: Final answer
    x = 484.75

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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.