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Finding the Fourth Proportional to 1,222.41, 1,833.89 and 606.27

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Solution

The fourth proportional to 1,222.41, 1,833.89 and 606.27 is: 909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.41 : 1,833.89 = 606.27 : x
  2. Step 2: Convert to fraction form
    1,222.41/1,833.89 = 606.27/x
  3. Step 3: Cross multiply
    1,222.41x = 1,833.89 × 606.27
  4. Step 4: Simplify right side
    1,222.41x = 1,111,829.46
  5. Step 5: Solve for x
    x = 1,111,829.46/1,222.41
  6. Step 6: Final answer
    x = 909.54

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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.