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Finding the Fourth Proportional to 1,275.10, 1,912.43 and 350.44

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Solution

The fourth proportional to 1,275.10, 1,912.43 and 350.44 is: 525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.10 : 1,912.43 = 350.44 : x
  2. Step 2: Convert to fraction form
    1,275.10/1,912.43 = 350.44/x
  3. Step 3: Cross multiply
    1,275.10x = 1,912.43 × 350.44
  4. Step 4: Simplify right side
    1,275.10x = 670,186.75
  5. Step 5: Solve for x
    x = 670,186.75/1,275.10
  6. Step 6: Final answer
    x = 525.60

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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.