Home / 1,453.20-2,005.22-823.64

Finding the Fourth Proportional to 1,453.20, 2,005.22 and 823.64

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Solution

The fourth proportional to 1,453.20, 2,005.22 and 823.64 is: 1,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.20 : 2,005.22 = 823.64 : x
  2. Step 2: Convert to fraction form
    1,453.20/2,005.22 = 823.64/x
  3. Step 3: Cross multiply
    1,453.20x = 2,005.22 × 823.64
  4. Step 4: Simplify right side
    1,453.20x = 1,651,579.40
  5. Step 5: Solve for x
    x = 1,651,579.40/1,453.20
  6. Step 6: Final answer
    x = 1,136.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.