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Finding the Fourth Proportional to 1,517.70, 2,275.20 and 543.54

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Solution

The fourth proportional to 1,517.70, 2,275.20 and 543.54 is: 814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.70 : 2,275.20 = 543.54 : x
  2. Step 2: Convert to fraction form
    1,517.70/2,275.20 = 543.54/x
  3. Step 3: Cross multiply
    1,517.70x = 2,275.20 × 543.54
  4. Step 4: Simplify right side
    1,517.70x = 1,236,662.21
  5. Step 5: Solve for x
    x = 1,236,662.21/1,517.70
  6. Step 6: Final answer
    x = 814.83

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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.