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Finding the Fourth Proportional to 1,164.20, 1,743.18 and 799.68

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Solution

The fourth proportional to 1,164.20, 1,743.18 and 799.68 is: 1,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.20 : 1,743.18 = 799.68 : x
  2. Step 2: Convert to fraction form
    1,164.20/1,743.18 = 799.68/x
  3. Step 3: Cross multiply
    1,164.20x = 1,743.18 × 799.68
  4. Step 4: Simplify right side
    1,164.20x = 1,393,986.18
  5. Step 5: Solve for x
    x = 1,393,986.18/1,164.20
  6. Step 6: Final answer
    x = 1,197.38

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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.