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Finding the Fourth Proportional to 1,331.36, 1,996.08 and 818.24

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Solution

The fourth proportional to 1,331.36, 1,996.08 and 818.24 is: 1,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.36 : 1,996.08 = 818.24 : x
  2. Step 2: Convert to fraction form
    1,331.36/1,996.08 = 818.24/x
  3. Step 3: Cross multiply
    1,331.36x = 1,996.08 × 818.24
  4. Step 4: Simplify right side
    1,331.36x = 1,633,272.50
  5. Step 5: Solve for x
    x = 1,633,272.50/1,331.36
  6. Step 6: Final answer
    x = 1,226.77

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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.