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Finding the Fourth Proportional to 1,751.37, 2,627.02 and 452.85

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Solution

The fourth proportional to 1,751.37, 2,627.02 and 452.85 is: 679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.37 : 2,627.02 = 452.85 : x
  2. Step 2: Convert to fraction form
    1,751.37/2,627.02 = 452.85/x
  3. Step 3: Cross multiply
    1,751.37x = 2,627.02 × 452.85
  4. Step 4: Simplify right side
    1,751.37x = 1,189,646.01
  5. Step 5: Solve for x
    x = 1,189,646.01/1,751.37
  6. Step 6: Final answer
    x = 679.27

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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.