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Finding the Fourth Proportional to 1,216.86, 1,825.38 and 733.02

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Solution

The fourth proportional to 1,216.86, 1,825.38 and 733.02 is: 1,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.86 : 1,825.38 = 733.02 : x
  2. Step 2: Convert to fraction form
    1,216.86/1,825.38 = 733.02/x
  3. Step 3: Cross multiply
    1,216.86x = 1,825.38 × 733.02
  4. Step 4: Simplify right side
    1,216.86x = 1,338,040.05
  5. Step 5: Solve for x
    x = 1,338,040.05/1,216.86
  6. Step 6: Final answer
    x = 1,099.58

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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.