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Finding the Fourth Proportional to 1,171.46, 1,757.06 and 911.72

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Solution

The fourth proportional to 1,171.46, 1,757.06 and 911.72 is: 1,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.46 : 1,757.06 = 911.72 : x
  2. Step 2: Convert to fraction form
    1,171.46/1,757.06 = 911.72/x
  3. Step 3: Cross multiply
    1,171.46x = 1,757.06 × 911.72
  4. Step 4: Simplify right side
    1,171.46x = 1,601,946.74
  5. Step 5: Solve for x
    x = 1,601,946.74/1,171.46
  6. Step 6: Final answer
    x = 1,367.48

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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.