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Finding the Fourth Proportional to 1,202.15, 1,803.13 and 380.31

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Solution

The fourth proportional to 1,202.15, 1,803.13 and 380.31 is: 570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.15 : 1,803.13 = 380.31 : x
  2. Step 2: Convert to fraction form
    1,202.15/1,803.13 = 380.31/x
  3. Step 3: Cross multiply
    1,202.15x = 1,803.13 × 380.31
  4. Step 4: Simplify right side
    1,202.15x = 685,739.94
  5. Step 5: Solve for x
    x = 685,739.94/1,202.15
  6. Step 6: Final answer
    x = 570.43

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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.