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Finding the Fourth Proportional to 919, 1,378.88 and 371.57

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Solution

The fourth proportional to 919, 1,378.88 and 371.57 is: 557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    919 : 1,378.88 = 371.57 : x
  2. Step 2: Convert to fraction form
    919/1,378.88 = 371.57/x
  3. Step 3: Cross multiply
    919x = 1,378.88 × 371.57
  4. Step 4: Simplify right side
    919x = 512,350.44
  5. Step 5: Solve for x
    x = 512,350.44/919
  6. Step 6: Final answer
    x = 557.51

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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.