Home / 1,022.80-1,411.31-574.58

Finding the Fourth Proportional to 1,022.80, 1,411.31 and 574.58

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Solution

The fourth proportional to 1,022.80, 1,411.31 and 574.58 is: 792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.80 : 1,411.31 = 574.58 : x
  2. Step 2: Convert to fraction form
    1,022.80/1,411.31 = 574.58/x
  3. Step 3: Cross multiply
    1,022.80x = 1,411.31 × 574.58
  4. Step 4: Simplify right side
    1,022.80x = 810,908.51
  5. Step 5: Solve for x
    x = 810,908.51/1,022.80
  6. Step 6: Final answer
    x = 792.83

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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.