Home / 1,291.40-1,933.86-713.06

Finding the Fourth Proportional to 1,291.40, 1,933.86 and 713.06

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Solution

The fourth proportional to 1,291.40, 1,933.86 and 713.06 is: 1,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.40 : 1,933.86 = 713.06 : x
  2. Step 2: Convert to fraction form
    1,291.40/1,933.86 = 713.06/x
  3. Step 3: Cross multiply
    1,291.40x = 1,933.86 × 713.06
  4. Step 4: Simplify right side
    1,291.40x = 1,378,958.21
  5. Step 5: Solve for x
    x = 1,378,958.21/1,291.40
  6. Step 6: Final answer
    x = 1,067.80

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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.