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Finding the Fourth Proportional to 1,388.85, 1,916.38 and 799.26

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Solution

The fourth proportional to 1,388.85, 1,916.38 and 799.26 is: 1,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.85 : 1,916.38 = 799.26 : x
  2. Step 2: Convert to fraction form
    1,388.85/1,916.38 = 799.26/x
  3. Step 3: Cross multiply
    1,388.85x = 1,916.38 × 799.26
  4. Step 4: Simplify right side
    1,388.85x = 1,531,685.88
  5. Step 5: Solve for x
    x = 1,531,685.88/1,388.85
  6. Step 6: Final answer
    x = 1,102.84

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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.