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Finding the Fourth Proportional to 1,751.32, 2,627.10 and 452.80

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Solution

The fourth proportional to 1,751.32, 2,627.10 and 452.80 is: 679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.32 : 2,627.10 = 452.80 : x
  2. Step 2: Convert to fraction form
    1,751.32/2,627.10 = 452.80/x
  3. Step 3: Cross multiply
    1,751.32x = 2,627.10 × 452.80
  4. Step 4: Simplify right side
    1,751.32x = 1,189,550.88
  5. Step 5: Solve for x
    x = 1,189,550.88/1,751.32
  6. Step 6: Final answer
    x = 679.23

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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.