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Finding the Fourth Proportional to 1,720.75, 2,375.22 and 1,160.86

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Solution

The fourth proportional to 1,720.75, 2,375.22 and 1,160.86 is: 1,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.75 : 2,375.22 = 1,160.86 : x
  2. Step 2: Convert to fraction form
    1,720.75/2,375.22 = 1,160.86/x
  3. Step 3: Cross multiply
    1,720.75x = 2,375.22 × 1,160.86
  4. Step 4: Simplify right side
    1,720.75x = 2,757,297.89
  5. Step 5: Solve for x
    x = 2,757,297.89/1,720.75
  6. Step 6: Final answer
    x = 1,602.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.