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Finding the Fourth Proportional to 1,213.70, 1,818.15 and 725.30

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Solution

The fourth proportional to 1,213.70, 1,818.15 and 725.30 is: 1,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.70 : 1,818.15 = 725.30 : x
  2. Step 2: Convert to fraction form
    1,213.70/1,818.15 = 725.30/x
  3. Step 3: Cross multiply
    1,213.70x = 1,818.15 × 725.30
  4. Step 4: Simplify right side
    1,213.70x = 1,318,704.20
  5. Step 5: Solve for x
    x = 1,318,704.20/1,213.70
  6. Step 6: Final answer
    x = 1,086.52

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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.