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Finding the Fourth Proportional to 1,990.76, 2,984.92 and 820.40

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Solution

The fourth proportional to 1,990.76, 2,984.92 and 820.40 is: 1,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.76 : 2,984.92 = 820.40 : x
  2. Step 2: Convert to fraction form
    1,990.76/2,984.92 = 820.40/x
  3. Step 3: Cross multiply
    1,990.76x = 2,984.92 × 820.40
  4. Step 4: Simplify right side
    1,990.76x = 2,448,811.39
  5. Step 5: Solve for x
    x = 2,448,811.39/1,990.76
  6. Step 6: Final answer
    x = 1,230.09

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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.