Home / 1,542.14-2,314.26-720.50

Finding the Fourth Proportional to 1,542.14, 2,314.26 and 720.50

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Solution

The fourth proportional to 1,542.14, 2,314.26 and 720.50 is: 1,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.14 : 2,314.26 = 720.50 : x
  2. Step 2: Convert to fraction form
    1,542.14/2,314.26 = 720.50/x
  3. Step 3: Cross multiply
    1,542.14x = 2,314.26 × 720.50
  4. Step 4: Simplify right side
    1,542.14x = 1,667,424.33
  5. Step 5: Solve for x
    x = 1,667,424.33/1,542.14
  6. Step 6: Final answer
    x = 1,081.24

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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.