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Finding the Fourth Proportional to 919.87, 1,380.03 and 303.54

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Solution

The fourth proportional to 919.87, 1,380.03 and 303.54 is: 455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.87 : 1,380.03 = 303.54 : x
  2. Step 2: Convert to fraction form
    919.87/1,380.03 = 303.54/x
  3. Step 3: Cross multiply
    919.87x = 1,380.03 × 303.54
  4. Step 4: Simplify right side
    919.87x = 418,894.31
  5. Step 5: Solve for x
    x = 418,894.31/919.87
  6. Step 6: Final answer
    x = 455.38

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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.