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Finding the Fourth Proportional to 2,119.72, 3,180.03 and 658.99

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Solution

The fourth proportional to 2,119.72, 3,180.03 and 658.99 is: 988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.72 : 3,180.03 = 658.99 : x
  2. Step 2: Convert to fraction form
    2,119.72/3,180.03 = 658.99/x
  3. Step 3: Cross multiply
    2,119.72x = 3,180.03 × 658.99
  4. Step 4: Simplify right side
    2,119.72x = 2,095,597.15
  5. Step 5: Solve for x
    x = 2,095,597.15/2,119.72
  6. Step 6: Final answer
    x = 988.62

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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.