Home / 1,022.34-1,410.75-629.58

Finding the Fourth Proportional to 1,022.34, 1,410.75 and 629.58

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Solution

The fourth proportional to 1,022.34, 1,410.75 and 629.58 is: 868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.34 : 1,410.75 = 629.58 : x
  2. Step 2: Convert to fraction form
    1,022.34/1,410.75 = 629.58/x
  3. Step 3: Cross multiply
    1,022.34x = 1,410.75 × 629.58
  4. Step 4: Simplify right side
    1,022.34x = 888,179.99
  5. Step 5: Solve for x
    x = 888,179.99/1,022.34
  6. Step 6: Final answer
    x = 868.77

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1.5x scale

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.