Home / 1,261.31-1,890.14-712.13

Finding the Fourth Proportional to 1,261.31, 1,890.14 and 712.13

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Solution

The fourth proportional to 1,261.31, 1,890.14 and 712.13 is: 1,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.31 : 1,890.14 = 712.13 : x
  2. Step 2: Convert to fraction form
    1,261.31/1,890.14 = 712.13/x
  3. Step 3: Cross multiply
    1,261.31x = 1,890.14 × 712.13
  4. Step 4: Simplify right side
    1,261.31x = 1,346,012.39
  5. Step 5: Solve for x
    x = 1,346,012.39/1,261.31
  6. Step 6: Final answer
    x = 1,067.16

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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.