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Finding the Fourth Proportional to 1,091.92, 1,638.16 and 322.42

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Solution

The fourth proportional to 1,091.92, 1,638.16 and 322.42 is: 483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.92 : 1,638.16 = 322.42 : x
  2. Step 2: Convert to fraction form
    1,091.92/1,638.16 = 322.42/x
  3. Step 3: Cross multiply
    1,091.92x = 1,638.16 × 322.42
  4. Step 4: Simplify right side
    1,091.92x = 528,175.55
  5. Step 5: Solve for x
    x = 528,175.55/1,091.92
  6. Step 6: Final answer
    x = 483.71

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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.