Home / 1,403.25-2,105.54-537.33

Finding the Fourth Proportional to 1,403.25, 2,105.54 and 537.33

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Solution

The fourth proportional to 1,403.25, 2,105.54 and 537.33 is: 806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.25 : 2,105.54 = 537.33 : x
  2. Step 2: Convert to fraction form
    1,403.25/2,105.54 = 537.33/x
  3. Step 3: Cross multiply
    1,403.25x = 2,105.54 × 537.33
  4. Step 4: Simplify right side
    1,403.25x = 1,131,367.12
  5. Step 5: Solve for x
    x = 1,131,367.12/1,403.25
  6. Step 6: Final answer
    x = 806.25

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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.