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Finding the Fourth Proportional to 1,293.83, 1,940.44 and 369.15

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Solution

The fourth proportional to 1,293.83, 1,940.44 and 369.15 is: 553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.83 : 1,940.44 = 369.15 : x
  2. Step 2: Convert to fraction form
    1,293.83/1,940.44 = 369.15/x
  3. Step 3: Cross multiply
    1,293.83x = 1,940.44 × 369.15
  4. Step 4: Simplify right side
    1,293.83x = 716,313.43
  5. Step 5: Solve for x
    x = 716,313.43/1,293.83
  6. Step 6: Final answer
    x = 553.64

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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.