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Finding the Fourth Proportional to 1,260.85, 1,891.33 and 567.39

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Solution

The fourth proportional to 1,260.85, 1,891.33 and 567.39 is: 851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.85 : 1,891.33 = 567.39 : x
  2. Step 2: Convert to fraction form
    1,260.85/1,891.33 = 567.39/x
  3. Step 3: Cross multiply
    1,260.85x = 1,891.33 × 567.39
  4. Step 4: Simplify right side
    1,260.85x = 1,073,121.73
  5. Step 5: Solve for x
    x = 1,073,121.73/1,260.85
  6. Step 6: Final answer
    x = 851.11

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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.