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Finding the Fourth Proportional to 2,229.10, 3,342.69 and 689.26

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Solution

The fourth proportional to 2,229.10, 3,342.69 and 689.26 is: 1,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.10 : 3,342.69 = 689.26 : x
  2. Step 2: Convert to fraction form
    2,229.10/3,342.69 = 689.26/x
  3. Step 3: Cross multiply
    2,229.10x = 3,342.69 × 689.26
  4. Step 4: Simplify right side
    2,229.10x = 2,303,982.51
  5. Step 5: Solve for x
    x = 2,303,982.51/2,229.10
  6. Step 6: Final answer
    x = 1,033.59

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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.