Home / 1,057.23-1,584.99-441.40

Finding the Fourth Proportional to 1,057.23, 1,584.99 and 441.40

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Solution

The fourth proportional to 1,057.23, 1,584.99 and 441.40 is: 661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.23 : 1,584.99 = 441.40 : x
  2. Step 2: Convert to fraction form
    1,057.23/1,584.99 = 441.40/x
  3. Step 3: Cross multiply
    1,057.23x = 1,584.99 × 441.40
  4. Step 4: Simplify right side
    1,057.23x = 699,614.59
  5. Step 5: Solve for x
    x = 699,614.59/1,057.23
  6. Step 6: Final answer
    x = 661.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.