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Finding the Fourth Proportional to 1,867.33, 2,801.20 and 697.89

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Solution

The fourth proportional to 1,867.33, 2,801.20 and 697.89 is: 1,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.33 : 2,801.20 = 697.89 : x
  2. Step 2: Convert to fraction form
    1,867.33/2,801.20 = 697.89/x
  3. Step 3: Cross multiply
    1,867.33x = 2,801.20 × 697.89
  4. Step 4: Simplify right side
    1,867.33x = 1,954,939.54
  5. Step 5: Solve for x
    x = 1,954,939.54/1,867.33
  6. Step 6: Final answer
    x = 1,046.92

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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.