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Finding the Fourth Proportional to 1,220.85, 1,675.95 and 1,122.43

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Solution

The fourth proportional to 1,220.85, 1,675.95 and 1,122.43 is: 1,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.85 : 1,675.95 = 1,122.43 : x
  2. Step 2: Convert to fraction form
    1,220.85/1,675.95 = 1,122.43/x
  3. Step 3: Cross multiply
    1,220.85x = 1,675.95 × 1,122.43
  4. Step 4: Simplify right side
    1,220.85x = 1,881,136.56
  5. Step 5: Solve for x
    x = 1,881,136.56/1,220.85
  6. Step 6: Final answer
    x = 1,540.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.