Home / 1,057.35-1,584.93-441.41

Finding the Fourth Proportional to 1,057.35, 1,584.93 and 441.41

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Solution

The fourth proportional to 1,057.35, 1,584.93 and 441.41 is: 661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.35 : 1,584.93 = 441.41 : x
  2. Step 2: Convert to fraction form
    1,057.35/1,584.93 = 441.41/x
  3. Step 3: Cross multiply
    1,057.35x = 1,584.93 × 441.41
  4. Step 4: Simplify right side
    1,057.35x = 699,603.95
  5. Step 5: Solve for x
    x = 699,603.95/1,057.35
  6. Step 6: Final answer
    x = 661.66

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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.