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Finding the Fourth Proportional to 794.89, 1,192.34 and 247.11

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Solution

The fourth proportional to 794.89, 1,192.34 and 247.11 is: 370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.89 : 1,192.34 = 247.11 : x
  2. Step 2: Convert to fraction form
    794.89/1,192.34 = 247.11/x
  3. Step 3: Cross multiply
    794.89x = 1,192.34 × 247.11
  4. Step 4: Simplify right side
    794.89x = 294,639.14
  5. Step 5: Solve for x
    x = 294,639.14/794.89
  6. Step 6: Final answer
    x = 370.67

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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.