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Finding the Fourth Proportional to 919.11, 1,370.49 and 902.73

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Solution

The fourth proportional to 919.11, 1,370.49 and 902.73 is: 1,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.11 : 1,370.49 = 902.73 : x
  2. Step 2: Convert to fraction form
    919.11/1,370.49 = 902.73/x
  3. Step 3: Cross multiply
    919.11x = 1,370.49 × 902.73
  4. Step 4: Simplify right side
    919.11x = 1,237,182.44
  5. Step 5: Solve for x
    x = 1,237,182.44/919.11
  6. Step 6: Final answer
    x = 1,346.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.