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Finding the Fourth Proportional to 919.09, 1,268.20 and 546.08

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Solution

The fourth proportional to 919.09, 1,268.20 and 546.08 is: 753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.09 : 1,268.20 = 546.08 : x
  2. Step 2: Convert to fraction form
    919.09/1,268.20 = 546.08/x
  3. Step 3: Cross multiply
    919.09x = 1,268.20 × 546.08
  4. Step 4: Simplify right side
    919.09x = 692,540.02
  5. Step 5: Solve for x
    x = 692,540.02/919.09
  6. Step 6: Final answer
    x = 753.51

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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.