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Finding the Fourth Proportional to 2,219.26, 3,328.88 and 680.26

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Solution

The fourth proportional to 2,219.26, 3,328.88 and 680.26 is: 1,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.26 : 3,328.88 = 680.26 : x
  2. Step 2: Convert to fraction form
    2,219.26/3,328.88 = 680.26/x
  3. Step 3: Cross multiply
    2,219.26x = 3,328.88 × 680.26
  4. Step 4: Simplify right side
    2,219.26x = 2,264,503.91
  5. Step 5: Solve for x
    x = 2,264,503.91/2,219.26
  6. Step 6: Final answer
    x = 1,020.39

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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.