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Finding the Fourth Proportional to 1,273.01, 1,757.57 and 801.54

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Solution

The fourth proportional to 1,273.01, 1,757.57 and 801.54 is: 1,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.01 : 1,757.57 = 801.54 : x
  2. Step 2: Convert to fraction form
    1,273.01/1,757.57 = 801.54/x
  3. Step 3: Cross multiply
    1,273.01x = 1,757.57 × 801.54
  4. Step 4: Simplify right side
    1,273.01x = 1,408,758.65
  5. Step 5: Solve for x
    x = 1,408,758.65/1,273.01
  6. Step 6: Final answer
    x = 1,106.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.