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Finding the Fourth Proportional to 919.72, 1,274.68 and 902.44

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Solution

The fourth proportional to 919.72, 1,274.68 and 902.44 is: 1,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.72 : 1,274.68 = 902.44 : x
  2. Step 2: Convert to fraction form
    919.72/1,274.68 = 902.44/x
  3. Step 3: Cross multiply
    919.72x = 1,274.68 × 902.44
  4. Step 4: Simplify right side
    919.72x = 1,150,322.22
  5. Step 5: Solve for x
    x = 1,150,322.22/919.72
  6. Step 6: Final answer
    x = 1,250.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.