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Finding the Fourth Proportional to 2,268.78, 3,403.16 and 625.56

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Solution

The fourth proportional to 2,268.78, 3,403.16 and 625.56 is: 938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.78 : 3,403.16 = 625.56 : x
  2. Step 2: Convert to fraction form
    2,268.78/3,403.16 = 625.56/x
  3. Step 3: Cross multiply
    2,268.78x = 3,403.16 × 625.56
  4. Step 4: Simplify right side
    2,268.78x = 2,128,877.64
  5. Step 5: Solve for x
    x = 2,128,877.64/2,268.78
  6. Step 6: Final answer
    x = 938.34

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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.