Home / 1,022.23-1,410.46-629.11

Finding the Fourth Proportional to 1,022.23, 1,410.46 and 629.11

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Solution

The fourth proportional to 1,022.23, 1,410.46 and 629.11 is: 868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.23 : 1,410.46 = 629.11 : x
  2. Step 2: Convert to fraction form
    1,022.23/1,410.46 = 629.11/x
  3. Step 3: Cross multiply
    1,022.23x = 1,410.46 × 629.11
  4. Step 4: Simplify right side
    1,022.23x = 887,334.49
  5. Step 5: Solve for x
    x = 887,334.49/1,022.23
  6. Step 6: Final answer
    x = 868.04

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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.