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Finding the Fourth Proportional to 2,268.96, 3,403.19 and 625.74

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Solution

The fourth proportional to 2,268.96, 3,403.19 and 625.74 is: 938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.96 : 3,403.19 = 625.74 : x
  2. Step 2: Convert to fraction form
    2,268.96/3,403.19 = 625.74/x
  3. Step 3: Cross multiply
    2,268.96x = 3,403.19 × 625.74
  4. Step 4: Simplify right side
    2,268.96x = 2,129,508.98
  5. Step 5: Solve for x
    x = 2,129,508.98/2,268.96
  6. Step 6: Final answer
    x = 938.54

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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.