Home / 1,403.31-2,105.27-537.63

Finding the Fourth Proportional to 1,403.31, 2,105.27 and 537.63

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Solution

The fourth proportional to 1,403.31, 2,105.27 and 537.63 is: 806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.31 : 2,105.27 = 537.63 : x
  2. Step 2: Convert to fraction form
    1,403.31/2,105.27 = 537.63/x
  3. Step 3: Cross multiply
    1,403.31x = 2,105.27 × 537.63
  4. Step 4: Simplify right side
    1,403.31x = 1,131,856.31
  5. Step 5: Solve for x
    x = 1,131,856.31/1,403.31
  6. Step 6: Final answer
    x = 806.56

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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.