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Finding the Fourth Proportional to 1,429.18, 1,971.97 and 799.63

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Solution

The fourth proportional to 1,429.18, 1,971.97 and 799.63 is: 1,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.18 : 1,971.97 = 799.63 : x
  2. Step 2: Convert to fraction form
    1,429.18/1,971.97 = 799.63/x
  3. Step 3: Cross multiply
    1,429.18x = 1,971.97 × 799.63
  4. Step 4: Simplify right side
    1,429.18x = 1,576,839.44
  5. Step 5: Solve for x
    x = 1,576,839.44/1,429.18
  6. Step 6: Final answer
    x = 1,103.32

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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.