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Finding the Fourth Proportional to 1,867.33, 2,798.47 and 712.45

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Solution

The fourth proportional to 1,867.33, 2,798.47 and 712.45 is: 1,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.33 : 2,798.47 = 712.45 : x
  2. Step 2: Convert to fraction form
    1,867.33/2,798.47 = 712.45/x
  3. Step 3: Cross multiply
    1,867.33x = 2,798.47 × 712.45
  4. Step 4: Simplify right side
    1,867.33x = 1,993,769.95
  5. Step 5: Solve for x
    x = 1,993,769.95/1,867.33
  6. Step 6: Final answer
    x = 1,067.71

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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.