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Finding the Fourth Proportional to 736.80, 1,104.26 and 325.82

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Solution

The fourth proportional to 736.80, 1,104.26 and 325.82 is: 488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.80 : 1,104.26 = 325.82 : x
  2. Step 2: Convert to fraction form
    736.80/1,104.26 = 325.82/x
  3. Step 3: Cross multiply
    736.80x = 1,104.26 × 325.82
  4. Step 4: Simplify right side
    736.80x = 359,789.99
  5. Step 5: Solve for x
    x = 359,789.99/736.80
  6. Step 6: Final answer
    x = 488.31

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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.