Home / 1,022.21-1,410.54-629.24

Finding the Fourth Proportional to 1,022.21, 1,410.54 and 629.24

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Solution

The fourth proportional to 1,022.21, 1,410.54 and 629.24 is: 868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.21 : 1,410.54 = 629.24 : x
  2. Step 2: Convert to fraction form
    1,022.21/1,410.54 = 629.24/x
  3. Step 3: Cross multiply
    1,022.21x = 1,410.54 × 629.24
  4. Step 4: Simplify right side
    1,022.21x = 887,561.14
  5. Step 5: Solve for x
    x = 887,561.14/1,022.21
  6. Step 6: Final answer
    x = 868.28

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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.