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Finding the Fourth Proportional to 1,512.51, 2,268.78 and 416.94

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Solution

The fourth proportional to 1,512.51, 2,268.78 and 416.94 is: 625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.51 : 2,268.78 = 416.94 : x
  2. Step 2: Convert to fraction form
    1,512.51/2,268.78 = 416.94/x
  3. Step 3: Cross multiply
    1,512.51x = 2,268.78 × 416.94
  4. Step 4: Simplify right side
    1,512.51x = 945,932.75
  5. Step 5: Solve for x
    x = 945,932.75/1,512.51
  6. Step 6: Final answer
    x = 625.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.