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Finding the Fourth Proportional to 737.22, 1,104.60 and 520.41

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Solution

The fourth proportional to 737.22, 1,104.60 and 520.41 is: 779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.22 : 1,104.60 = 520.41 : x
  2. Step 2: Convert to fraction form
    737.22/1,104.60 = 520.41/x
  3. Step 3: Cross multiply
    737.22x = 1,104.60 × 520.41
  4. Step 4: Simplify right side
    737.22x = 574,844.89
  5. Step 5: Solve for x
    x = 574,844.89/737.22
  6. Step 6: Final answer
    x = 779.75

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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.