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Finding the Fourth Proportional to 1,212.57, 1,818.84 and 518.65

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Solution

The fourth proportional to 1,212.57, 1,818.84 and 518.65 is: 777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.57 : 1,818.84 = 518.65 : x
  2. Step 2: Convert to fraction form
    1,212.57/1,818.84 = 518.65/x
  3. Step 3: Cross multiply
    1,212.57x = 1,818.84 × 518.65
  4. Step 4: Simplify right side
    1,212.57x = 943,329.68
  5. Step 5: Solve for x
    x = 943,329.68/1,212.57
  6. Step 6: Final answer
    x = 777.96

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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.