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Finding the Fourth Proportional to 1,202.26, 1,804.10 and 518.26

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Solution

The fourth proportional to 1,202.26, 1,804.10 and 518.26 is: 777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.26 : 1,804.10 = 518.26 : x
  2. Step 2: Convert to fraction form
    1,202.26/1,804.10 = 518.26/x
  3. Step 3: Cross multiply
    1,202.26x = 1,804.10 × 518.26
  4. Step 4: Simplify right side
    1,202.26x = 934,992.87
  5. Step 5: Solve for x
    x = 934,992.87/1,202.26
  6. Step 6: Final answer
    x = 777.70

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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.