Home / 1,453.44-2,180.40-828.72

Finding the Fourth Proportional to 1,453.44, 2,180.40 and 828.72

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Solution

The fourth proportional to 1,453.44, 2,180.40 and 828.72 is: 1,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.44 : 2,180.40 = 828.72 : x
  2. Step 2: Convert to fraction form
    1,453.44/2,180.40 = 828.72/x
  3. Step 3: Cross multiply
    1,453.44x = 2,180.40 × 828.72
  4. Step 4: Simplify right side
    1,453.44x = 1,806,941.09
  5. Step 5: Solve for x
    x = 1,806,941.09/1,453.44
  6. Step 6: Final answer
    x = 1,243.22

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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.