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Finding the Fourth Proportional to 736.67, 1,103.45 and 443.25

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Solution

The fourth proportional to 736.67, 1,103.45 and 443.25 is: 663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.67 : 1,103.45 = 443.25 : x
  2. Step 2: Convert to fraction form
    736.67/1,103.45 = 443.25/x
  3. Step 3: Cross multiply
    736.67x = 1,103.45 × 443.25
  4. Step 4: Simplify right side
    736.67x = 489,104.21
  5. Step 5: Solve for x
    x = 489,104.21/736.67
  6. Step 6: Final answer
    x = 663.94

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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.