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Finding the Fourth Proportional to 2,219.21, 3,328.34 and 658.84

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Solution

The fourth proportional to 2,219.21, 3,328.34 and 658.84 is: 988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.21 : 3,328.34 = 658.84 : x
  2. Step 2: Convert to fraction form
    2,219.21/3,328.34 = 658.84/x
  3. Step 3: Cross multiply
    2,219.21x = 3,328.34 × 658.84
  4. Step 4: Simplify right side
    2,219.21x = 2,192,843.53
  5. Step 5: Solve for x
    x = 2,192,843.53/2,219.21
  6. Step 6: Final answer
    x = 988.12

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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.