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Finding the Fourth Proportional to 847.44, 1,271.36 and 270.32

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Solution

The fourth proportional to 847.44, 1,271.36 and 270.32 is: 405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.44 : 1,271.36 = 270.32 : x
  2. Step 2: Convert to fraction form
    847.44/1,271.36 = 270.32/x
  3. Step 3: Cross multiply
    847.44x = 1,271.36 × 270.32
  4. Step 4: Simplify right side
    847.44x = 343,667.68
  5. Step 5: Solve for x
    x = 343,667.68/847.44
  6. Step 6: Final answer
    x = 405.54

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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.