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Finding the Fourth Proportional to 1,451.57, 2,175.42 and 758.81

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Solution

The fourth proportional to 1,451.57, 2,175.42 and 758.81 is: 1,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.57 : 2,175.42 = 758.81 : x
  2. Step 2: Convert to fraction form
    1,451.57/2,175.42 = 758.81/x
  3. Step 3: Cross multiply
    1,451.57x = 2,175.42 × 758.81
  4. Step 4: Simplify right side
    1,451.57x = 1,650,738.73
  5. Step 5: Solve for x
    x = 1,650,738.73/1,451.57
  6. Step 6: Final answer
    x = 1,137.21

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1.5x scale

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.