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Finding the Fourth Proportional to 1,212.07, 1,818.30 and 519.07

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Solution

The fourth proportional to 1,212.07, 1,818.30 and 519.07 is: 778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.07 : 1,818.30 = 519.07 : x
  2. Step 2: Convert to fraction form
    1,212.07/1,818.30 = 519.07/x
  3. Step 3: Cross multiply
    1,212.07x = 1,818.30 × 519.07
  4. Step 4: Simplify right side
    1,212.07x = 943,824.98
  5. Step 5: Solve for x
    x = 943,824.98/1,212.07
  6. Step 6: Final answer
    x = 778.69

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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.