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Finding the Fourth Proportional to 919.54, 1,378.86 and 627.49

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Solution

The fourth proportional to 919.54, 1,378.86 and 627.49 is: 940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.54 : 1,378.86 = 627.49 : x
  2. Step 2: Convert to fraction form
    919.54/1,378.86 = 627.49/x
  3. Step 3: Cross multiply
    919.54x = 1,378.86 × 627.49
  4. Step 4: Simplify right side
    919.54x = 865,220.86
  5. Step 5: Solve for x
    x = 865,220.86/919.54
  6. Step 6: Final answer
    x = 940.93

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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.