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Finding the Fourth Proportional to 2,268.89, 3,403.57 and 625.44

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Solution

The fourth proportional to 2,268.89, 3,403.57 and 625.44 is: 938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.89 : 3,403.57 = 625.44 : x
  2. Step 2: Convert to fraction form
    2,268.89/3,403.57 = 625.44/x
  3. Step 3: Cross multiply
    2,268.89x = 3,403.57 × 625.44
  4. Step 4: Simplify right side
    2,268.89x = 2,128,710.24
  5. Step 5: Solve for x
    x = 2,128,710.24/2,268.89
  6. Step 6: Final answer
    x = 938.22

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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.