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Finding the Fourth Proportional to 738.56, 1,107.20 and 276.06

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Solution

The fourth proportional to 738.56, 1,107.20 and 276.06 is: 413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.56 : 1,107.20 = 276.06 : x
  2. Step 2: Convert to fraction form
    738.56/1,107.20 = 276.06/x
  3. Step 3: Cross multiply
    738.56x = 1,107.20 × 276.06
  4. Step 4: Simplify right side
    738.56x = 305,653.63
  5. Step 5: Solve for x
    x = 305,653.63/738.56
  6. Step 6: Final answer
    x = 413.85

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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.