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Finding the Fourth Proportional to 847.82, 1,271.72 and 270.69

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Solution

The fourth proportional to 847.82, 1,271.72 and 270.69 is: 406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.82 : 1,271.72 = 270.69 : x
  2. Step 2: Convert to fraction form
    847.82/1,271.72 = 270.69/x
  3. Step 3: Cross multiply
    847.82x = 1,271.72 × 270.69
  4. Step 4: Simplify right side
    847.82x = 344,241.89
  5. Step 5: Solve for x
    x = 344,241.89/847.82
  6. Step 6: Final answer
    x = 406.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.