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Finding the Fourth Proportional to 2,213.58, 3,319.22 and 653.39

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Solution

The fourth proportional to 2,213.58, 3,319.22 and 653.39 is: 979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.58 : 3,319.22 = 653.39 : x
  2. Step 2: Convert to fraction form
    2,213.58/3,319.22 = 653.39/x
  3. Step 3: Cross multiply
    2,213.58x = 3,319.22 × 653.39
  4. Step 4: Simplify right side
    2,213.58x = 2,168,725.29
  5. Step 5: Solve for x
    x = 2,168,725.29/2,213.58
  6. Step 6: Final answer
    x = 979.74

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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.