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Finding the Fourth Proportional to 2,213.57, 3,319.22 and 653.38

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Solution

The fourth proportional to 2,213.57, 3,319.22 and 653.38 is: 979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.57 : 3,319.22 = 653.38 : x
  2. Step 2: Convert to fraction form
    2,213.57/3,319.22 = 653.38/x
  3. Step 3: Cross multiply
    2,213.57x = 3,319.22 × 653.38
  4. Step 4: Simplify right side
    2,213.57x = 2,168,700.40
  5. Step 5: Solve for x
    x = 2,168,700.40/2,213.57
  6. Step 6: Final answer
    x = 979.73

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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.