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Finding the Fourth Proportional to 1,327.54, 1,991.16 and 402.88

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Solution

The fourth proportional to 1,327.54, 1,991.16 and 402.88 is: 604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.54 : 1,991.16 = 402.88 : x
  2. Step 2: Convert to fraction form
    1,327.54/1,991.16 = 402.88/x
  3. Step 3: Cross multiply
    1,327.54x = 1,991.16 × 402.88
  4. Step 4: Simplify right side
    1,327.54x = 802,198.54
  5. Step 5: Solve for x
    x = 802,198.54/1,327.54
  6. Step 6: Final answer
    x = 604.27

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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.