Home / 1,022.18-1,410.63-629.42

Finding the Fourth Proportional to 1,022.18, 1,410.63 and 629.42

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Solution

The fourth proportional to 1,022.18, 1,410.63 and 629.42 is: 868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.18 : 1,410.63 = 629.42 : x
  2. Step 2: Convert to fraction form
    1,022.18/1,410.63 = 629.42/x
  3. Step 3: Cross multiply
    1,022.18x = 1,410.63 × 629.42
  4. Step 4: Simplify right side
    1,022.18x = 887,871.68
  5. Step 5: Solve for x
    x = 887,871.68/1,022.18
  6. Step 6: Final answer
    x = 868.61

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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.