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Finding the Fourth Proportional to 744.45, 1,115.73 and 333.57

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Solution

The fourth proportional to 744.45, 1,115.73 and 333.57 is: 499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.45 : 1,115.73 = 333.57 : x
  2. Step 2: Convert to fraction form
    744.45/1,115.73 = 333.57/x
  3. Step 3: Cross multiply
    744.45x = 1,115.73 × 333.57
  4. Step 4: Simplify right side
    744.45x = 372,174.06
  5. Step 5: Solve for x
    x = 372,174.06/744.45
  6. Step 6: Final answer
    x = 499.93

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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.