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Finding the Fourth Proportional to 1,428.91, 1,971.87 and 799.49

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Solution

The fourth proportional to 1,428.91, 1,971.87 and 799.49 is: 1,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.91 : 1,971.87 = 799.49 : x
  2. Step 2: Convert to fraction form
    1,428.91/1,971.87 = 799.49/x
  3. Step 3: Cross multiply
    1,428.91x = 1,971.87 × 799.49
  4. Step 4: Simplify right side
    1,428.91x = 1,576,490.35
  5. Step 5: Solve for x
    x = 1,576,490.35/1,428.91
  6. Step 6: Final answer
    x = 1,103.28

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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.