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Finding the Fourth Proportional to 2,219.77, 3,329.67 and 659.73

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Solution

The fourth proportional to 2,219.77, 3,329.67 and 659.73 is: 989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.77 : 3,329.67 = 659.73 : x
  2. Step 2: Convert to fraction form
    2,219.77/3,329.67 = 659.73/x
  3. Step 3: Cross multiply
    2,219.77x = 3,329.67 × 659.73
  4. Step 4: Simplify right side
    2,219.77x = 2,196,679.42
  5. Step 5: Solve for x
    x = 2,196,679.42/2,219.77
  6. Step 6: Final answer
    x = 989.60

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1.5x scale

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.