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Finding the Fourth Proportional to 1,185.39, 1,778.10 and 518.22

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Solution

The fourth proportional to 1,185.39, 1,778.10 and 518.22 is: 777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.39 : 1,778.10 = 518.22 : x
  2. Step 2: Convert to fraction form
    1,185.39/1,778.10 = 518.22/x
  3. Step 3: Cross multiply
    1,185.39x = 1,778.10 × 518.22
  4. Step 4: Simplify right side
    1,185.39x = 921,446.98
  5. Step 5: Solve for x
    x = 921,446.98/1,185.39
  6. Step 6: Final answer
    x = 777.34

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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.