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Finding the Fourth Proportional to 1,516.96, 2,274.36 and 725.41

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Solution

The fourth proportional to 1,516.96, 2,274.36 and 725.41 is: 1,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.96 : 2,274.36 = 725.41 : x
  2. Step 2: Convert to fraction form
    1,516.96/2,274.36 = 725.41/x
  3. Step 3: Cross multiply
    1,516.96x = 2,274.36 × 725.41
  4. Step 4: Simplify right side
    1,516.96x = 1,649,843.49
  5. Step 5: Solve for x
    x = 1,649,843.49/1,516.96
  6. Step 6: Final answer
    x = 1,087.60

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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.