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Finding the Fourth Proportional to 1,751.75, 2,627.64 and 453.14

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Solution

The fourth proportional to 1,751.75, 2,627.64 and 453.14 is: 679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.75 : 2,627.64 = 453.14 : x
  2. Step 2: Convert to fraction form
    1,751.75/2,627.64 = 453.14/x
  3. Step 3: Cross multiply
    1,751.75x = 2,627.64 × 453.14
  4. Step 4: Simplify right side
    1,751.75x = 1,190,688.79
  5. Step 5: Solve for x
    x = 1,190,688.79/1,751.75
  6. Step 6: Final answer
    x = 679.71

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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.