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Finding the Fourth Proportional to 1,212.78, 1,819.93 and 554.55

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Solution

The fourth proportional to 1,212.78, 1,819.93 and 554.55 is: 832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.78 : 1,819.93 = 554.55 : x
  2. Step 2: Convert to fraction form
    1,212.78/1,819.93 = 554.55/x
  3. Step 3: Cross multiply
    1,212.78x = 1,819.93 × 554.55
  4. Step 4: Simplify right side
    1,212.78x = 1,009,239.41
  5. Step 5: Solve for x
    x = 1,009,239.41/1,212.78
  6. Step 6: Final answer
    x = 832.17

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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.