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Finding the Fourth Proportional to 1,636.25, 2,452.75 and 769.01

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Solution

The fourth proportional to 1,636.25, 2,452.75 and 769.01 is: 1,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.25 : 2,452.75 = 769.01 : x
  2. Step 2: Convert to fraction form
    1,636.25/2,452.75 = 769.01/x
  3. Step 3: Cross multiply
    1,636.25x = 2,452.75 × 769.01
  4. Step 4: Simplify right side
    1,636.25x = 1,886,189.28
  5. Step 5: Solve for x
    x = 1,886,189.28/1,636.25
  6. Step 6: Final answer
    x = 1,152.75

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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.