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Finding the Fourth Proportional to 1,022.28, 1,410.12 and 891.60

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Solution

The fourth proportional to 1,022.28, 1,410.12 and 891.60 is: 1,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.28 : 1,410.12 = 891.60 : x
  2. Step 2: Convert to fraction form
    1,022.28/1,410.12 = 891.60/x
  3. Step 3: Cross multiply
    1,022.28x = 1,410.12 × 891.60
  4. Step 4: Simplify right side
    1,022.28x = 1,257,262.99
  5. Step 5: Solve for x
    x = 1,257,262.99/1,022.28
  6. Step 6: Final answer
    x = 1,229.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.