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Finding the Fourth Proportional to 1,122.72, 1,682.22 and 890.34

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Solution

The fourth proportional to 1,122.72, 1,682.22 and 890.34 is: 1,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.72 : 1,682.22 = 890.34 : x
  2. Step 2: Convert to fraction form
    1,122.72/1,682.22 = 890.34/x
  3. Step 3: Cross multiply
    1,122.72x = 1,682.22 × 890.34
  4. Step 4: Simplify right side
    1,122.72x = 1,497,747.75
  5. Step 5: Solve for x
    x = 1,497,747.75/1,122.72
  6. Step 6: Final answer
    x = 1,334.03

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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.