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Finding the Fourth Proportional to 919.09, 1,268.36 and 520.75

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Solution

The fourth proportional to 919.09, 1,268.36 and 520.75 is: 718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.09 : 1,268.36 = 520.75 : x
  2. Step 2: Convert to fraction form
    919.09/1,268.36 = 520.75/x
  3. Step 3: Cross multiply
    919.09x = 1,268.36 × 520.75
  4. Step 4: Simplify right side
    919.09x = 660,498.47
  5. Step 5: Solve for x
    x = 660,498.47/919.09
  6. Step 6: Final answer
    x = 718.64

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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.