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Finding the Fourth Proportional to 1,202.34, 1,803.78 and 380.73

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Solution

The fourth proportional to 1,202.34, 1,803.78 and 380.73 is: 571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.34 : 1,803.78 = 380.73 : x
  2. Step 2: Convert to fraction form
    1,202.34/1,803.78 = 380.73/x
  3. Step 3: Cross multiply
    1,202.34x = 1,803.78 × 380.73
  4. Step 4: Simplify right side
    1,202.34x = 686,753.16
  5. Step 5: Solve for x
    x = 686,753.16/1,202.34
  6. Step 6: Final answer
    x = 571.18

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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.