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Finding the Fourth Proportional to 1,185.89, 1,778.15 and 491.97

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Solution

The fourth proportional to 1,185.89, 1,778.15 and 491.97 is: 737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.89 : 1,778.15 = 491.97 : x
  2. Step 2: Convert to fraction form
    1,185.89/1,778.15 = 491.97/x
  3. Step 3: Cross multiply
    1,185.89x = 1,778.15 × 491.97
  4. Step 4: Simplify right side
    1,185.89x = 874,794.00
  5. Step 5: Solve for x
    x = 874,794.00/1,185.89
  6. Step 6: Final answer
    x = 737.67

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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.