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Finding the Fourth Proportional to 919.37, 1,268.57 and 520.92

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Solution

The fourth proportional to 919.37, 1,268.57 and 520.92 is: 718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.37 : 1,268.57 = 520.92 : x
  2. Step 2: Convert to fraction form
    919.37/1,268.57 = 520.92/x
  3. Step 3: Cross multiply
    919.37x = 1,268.57 × 520.92
  4. Step 4: Simplify right side
    919.37x = 660,820.88
  5. Step 5: Solve for x
    x = 660,820.88/919.37
  6. Step 6: Final answer
    x = 718.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.