Home / 1,542.25-2,313.38-676.57

Finding the Fourth Proportional to 1,542.25, 2,313.38 and 676.57

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Solution

The fourth proportional to 1,542.25, 2,313.38 and 676.57 is: 1,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.25 : 2,313.38 = 676.57 : x
  2. Step 2: Convert to fraction form
    1,542.25/2,313.38 = 676.57/x
  3. Step 3: Cross multiply
    1,542.25x = 2,313.38 × 676.57
  4. Step 4: Simplify right side
    1,542.25x = 1,565,163.51
  5. Step 5: Solve for x
    x = 1,565,163.51/1,542.25
  6. Step 6: Final answer
    x = 1,014.86

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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.