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Finding the Fourth Proportional to 1,284.33, 1,927.34 and 797.73

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Solution

The fourth proportional to 1,284.33, 1,927.34 and 797.73 is: 1,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.33 : 1,927.34 = 797.73 : x
  2. Step 2: Convert to fraction form
    1,284.33/1,927.34 = 797.73/x
  3. Step 3: Cross multiply
    1,284.33x = 1,927.34 × 797.73
  4. Step 4: Simplify right side
    1,284.33x = 1,537,496.94
  5. Step 5: Solve for x
    x = 1,537,496.94/1,284.33
  6. Step 6: Final answer
    x = 1,197.12

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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.