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Finding the Fourth Proportional to 1,121.64, 1,682.80 and 890.62

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Solution

The fourth proportional to 1,121.64, 1,682.80 and 890.62 is: 1,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.64 : 1,682.80 = 890.62 : x
  2. Step 2: Convert to fraction form
    1,121.64/1,682.80 = 890.62/x
  3. Step 3: Cross multiply
    1,121.64x = 1,682.80 × 890.62
  4. Step 4: Simplify right side
    1,121.64x = 1,498,735.34
  5. Step 5: Solve for x
    x = 1,498,735.34/1,121.64
  6. Step 6: Final answer
    x = 1,336.20

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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.