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Finding the Fourth Proportional to 1,453.45, 2,005.23 and 823.90

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Solution

The fourth proportional to 1,453.45, 2,005.23 and 823.90 is: 1,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.45 : 2,005.23 = 823.90 : x
  2. Step 2: Convert to fraction form
    1,453.45/2,005.23 = 823.90/x
  3. Step 3: Cross multiply
    1,453.45x = 2,005.23 × 823.90
  4. Step 4: Simplify right side
    1,453.45x = 1,652,109.00
  5. Step 5: Solve for x
    x = 1,652,109.00/1,453.45
  6. Step 6: Final answer
    x = 1,136.68

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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.