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Finding the Fourth Proportional to 744.46, 1,116.69 and 311.11

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Solution

The fourth proportional to 744.46, 1,116.69 and 311.11 is: 466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.46 : 1,116.69 = 311.11 : x
  2. Step 2: Convert to fraction form
    744.46/1,116.69 = 311.11/x
  3. Step 3: Cross multiply
    744.46x = 1,116.69 × 311.11
  4. Step 4: Simplify right side
    744.46x = 347,413.43
  5. Step 5: Solve for x
    x = 347,413.43/744.46
  6. Step 6: Final answer
    x = 466.67

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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.