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Finding the Fourth Proportional to 738.54, 1,107.73 and 251.53

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Solution

The fourth proportional to 738.54, 1,107.73 and 251.53 is: 377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.54 : 1,107.73 = 251.53 : x
  2. Step 2: Convert to fraction form
    738.54/1,107.73 = 251.53/x
  3. Step 3: Cross multiply
    738.54x = 1,107.73 × 251.53
  4. Step 4: Simplify right side
    738.54x = 278,627.33
  5. Step 5: Solve for x
    x = 278,627.33/738.54
  6. Step 6: Final answer
    x = 377.27

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