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Finding the Fourth Proportional to 1,022.64, 1,410.92 and 629.52

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Solution

The fourth proportional to 1,022.64, 1,410.92 and 629.52 is: 868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.64 : 1,410.92 = 629.52 : x
  2. Step 2: Convert to fraction form
    1,022.64/1,410.92 = 629.52/x
  3. Step 3: Cross multiply
    1,022.64x = 1,410.92 × 629.52
  4. Step 4: Simplify right side
    1,022.64x = 888,202.36
  5. Step 5: Solve for x
    x = 888,202.36/1,022.64
  6. Step 6: Final answer
    x = 868.54

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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.