Home / 1,216.20-1,824.30-523.20

Finding the Fourth Proportional to 1,216.20, 1,824.30 and 523.20

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Solution

The fourth proportional to 1,216.20, 1,824.30 and 523.20 is: 784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.20 : 1,824.30 = 523.20 : x
  2. Step 2: Convert to fraction form
    1,216.20/1,824.30 = 523.20/x
  3. Step 3: Cross multiply
    1,216.20x = 1,824.30 × 523.20
  4. Step 4: Simplify right side
    1,216.20x = 954,473.76
  5. Step 5: Solve for x
    x = 954,473.76/1,216.20
  6. Step 6: Final answer
    x = 784.80

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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.