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Finding the Fourth Proportional to 1,293.58, 1,939.46 and 799.94

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Solution

The fourth proportional to 1,293.58, 1,939.46 and 799.94 is: 1,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.58 : 1,939.46 = 799.94 : x
  2. Step 2: Convert to fraction form
    1,293.58/1,939.46 = 799.94/x
  3. Step 3: Cross multiply
    1,293.58x = 1,939.46 × 799.94
  4. Step 4: Simplify right side
    1,293.58x = 1,551,451.63
  5. Step 5: Solve for x
    x = 1,551,451.63/1,293.58
  6. Step 6: Final answer
    x = 1,199.35

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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.