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Finding the Fourth Proportional to 813.96, 1,221.64 and 327.36

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Solution

The fourth proportional to 813.96, 1,221.64 and 327.36 is: 491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.96 : 1,221.64 = 327.36 : x
  2. Step 2: Convert to fraction form
    813.96/1,221.64 = 327.36/x
  3. Step 3: Cross multiply
    813.96x = 1,221.64 × 327.36
  4. Step 4: Simplify right side
    813.96x = 399,916.07
  5. Step 5: Solve for x
    x = 399,916.07/813.96
  6. Step 6: Final answer
    x = 491.32

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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.