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Finding the Fourth Proportional to 847.29, 1,270.48 and 327.43

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Solution

The fourth proportional to 847.29, 1,270.48 and 327.43 is: 490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.29 : 1,270.48 = 327.43 : x
  2. Step 2: Convert to fraction form
    847.29/1,270.48 = 327.43/x
  3. Step 3: Cross multiply
    847.29x = 1,270.48 × 327.43
  4. Step 4: Simplify right side
    847.29x = 415,986.91
  5. Step 5: Solve for x
    x = 415,986.91/847.29
  6. Step 6: Final answer
    x = 490.96

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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.