Home / 1,022.25-1,410.66-574.17

Finding the Fourth Proportional to 1,022.25, 1,410.66 and 574.17

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Solution

The fourth proportional to 1,022.25, 1,410.66 and 574.17 is: 792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.25 : 1,410.66 = 574.17 : x
  2. Step 2: Convert to fraction form
    1,022.25/1,410.66 = 574.17/x
  3. Step 3: Cross multiply
    1,022.25x = 1,410.66 × 574.17
  4. Step 4: Simplify right side
    1,022.25x = 809,958.65
  5. Step 5: Solve for x
    x = 809,958.65/1,022.25
  6. Step 6: Final answer
    x = 792.33

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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.