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Finding the Fourth Proportional to 1,400.49, 1,933.07 and 811.26

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Solution

The fourth proportional to 1,400.49, 1,933.07 and 811.26 is: 1,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.49 : 1,933.07 = 811.26 : x
  2. Step 2: Convert to fraction form
    1,400.49/1,933.07 = 811.26/x
  3. Step 3: Cross multiply
    1,400.49x = 1,933.07 × 811.26
  4. Step 4: Simplify right side
    1,400.49x = 1,568,218.31
  5. Step 5: Solve for x
    x = 1,568,218.31/1,400.49
  6. Step 6: Final answer
    x = 1,119.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.