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Finding the Fourth Proportional to 1,201.94, 1,803.16 and 380.30

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Solution

The fourth proportional to 1,201.94, 1,803.16 and 380.30 is: 570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.94 : 1,803.16 = 380.30 : x
  2. Step 2: Convert to fraction form
    1,201.94/1,803.16 = 380.30/x
  3. Step 3: Cross multiply
    1,201.94x = 1,803.16 × 380.30
  4. Step 4: Simplify right side
    1,201.94x = 685,733.21
  5. Step 5: Solve for x
    x = 685,733.21/1,201.94
  6. Step 6: Final answer
    x = 570.52

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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.