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Finding the Fourth Proportional to 1,260.20, 1,891.25 and 644.42

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Solution

The fourth proportional to 1,260.20, 1,891.25 and 644.42 is: 967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.20 : 1,891.25 = 644.42 : x
  2. Step 2: Convert to fraction form
    1,260.20/1,891.25 = 644.42/x
  3. Step 3: Cross multiply
    1,260.20x = 1,891.25 × 644.42
  4. Step 4: Simplify right side
    1,260.20x = 1,218,759.33
  5. Step 5: Solve for x
    x = 1,218,759.33/1,260.20
  6. Step 6: Final answer
    x = 967.12

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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.