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Finding the Fourth Proportional to 1,636.12, 2,454.54 and 759.16

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Solution

The fourth proportional to 1,636.12, 2,454.54 and 759.16 is: 1,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.12 : 2,454.54 = 759.16 : x
  2. Step 2: Convert to fraction form
    1,636.12/2,454.54 = 759.16/x
  3. Step 3: Cross multiply
    1,636.12x = 2,454.54 × 759.16
  4. Step 4: Simplify right side
    1,636.12x = 1,863,388.59
  5. Step 5: Solve for x
    x = 1,863,388.59/1,636.12
  6. Step 6: Final answer
    x = 1,138.91

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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.