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Finding the Fourth Proportional to 847.44, 1,270.34 and 299.24

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Solution

The fourth proportional to 847.44, 1,270.34 and 299.24 is: 448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.44 : 1,270.34 = 299.24 : x
  2. Step 2: Convert to fraction form
    847.44/1,270.34 = 299.24/x
  3. Step 3: Cross multiply
    847.44x = 1,270.34 × 299.24
  4. Step 4: Simplify right side
    847.44x = 380,128.69
  5. Step 5: Solve for x
    x = 380,128.69/847.44
  6. Step 6: Final answer
    x = 448.56

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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.