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Finding the Fourth Proportional to 2,281.88, 3,422.82 and 550.50

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Solution

The fourth proportional to 2,281.88, 3,422.82 and 550.50 is: 825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.88 : 3,422.82 = 550.50 : x
  2. Step 2: Convert to fraction form
    2,281.88/3,422.82 = 550.50/x
  3. Step 3: Cross multiply
    2,281.88x = 3,422.82 × 550.50
  4. Step 4: Simplify right side
    2,281.88x = 1,884,262.41
  5. Step 5: Solve for x
    x = 1,884,262.41/2,281.88
  6. Step 6: Final answer
    x = 825.75

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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.