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Finding the Fourth Proportional to 1,453.22, 2,005.49 and 823.75

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Solution

The fourth proportional to 1,453.22, 2,005.49 and 823.75 is: 1,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.22 : 2,005.49 = 823.75 : x
  2. Step 2: Convert to fraction form
    1,453.22/2,005.49 = 823.75/x
  3. Step 3: Cross multiply
    1,453.22x = 2,005.49 × 823.75
  4. Step 4: Simplify right side
    1,453.22x = 1,652,023.86
  5. Step 5: Solve for x
    x = 1,652,023.86/1,453.22
  6. Step 6: Final answer
    x = 1,136.80

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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.