Home / 1,022.55-1,410.62-629.43

Finding the Fourth Proportional to 1,022.55, 1,410.62 and 629.43

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Solution

The fourth proportional to 1,022.55, 1,410.62 and 629.43 is: 868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.55 : 1,410.62 = 629.43 : x
  2. Step 2: Convert to fraction form
    1,022.55/1,410.62 = 629.43/x
  3. Step 3: Cross multiply
    1,022.55x = 1,410.62 × 629.43
  4. Step 4: Simplify right side
    1,022.55x = 887,883.40
  5. Step 5: Solve for x
    x = 887,883.40/1,022.55
  6. Step 6: Final answer
    x = 868.30

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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.