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Finding the Fourth Proportional to 1,273.85, 1,758.26 and 801.41

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Solution

The fourth proportional to 1,273.85, 1,758.26 and 801.41 is: 1,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.85 : 1,758.26 = 801.41 : x
  2. Step 2: Convert to fraction form
    1,273.85/1,758.26 = 801.41/x
  3. Step 3: Cross multiply
    1,273.85x = 1,758.26 × 801.41
  4. Step 4: Simplify right side
    1,273.85x = 1,409,074.35
  5. Step 5: Solve for x
    x = 1,409,074.35/1,273.85
  6. Step 6: Final answer
    x = 1,106.16

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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.