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Finding the Fourth Proportional to 1,212.57, 1,819.22 and 596.34

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Solution

The fourth proportional to 1,212.57, 1,819.22 and 596.34 is: 894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.57 : 1,819.22 = 596.34 : x
  2. Step 2: Convert to fraction form
    1,212.57/1,819.22 = 596.34/x
  3. Step 3: Cross multiply
    1,212.57x = 1,819.22 × 596.34
  4. Step 4: Simplify right side
    1,212.57x = 1,084,870.67
  5. Step 5: Solve for x
    x = 1,084,870.67/1,212.57
  6. Step 6: Final answer
    x = 894.69

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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.