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Finding the Fourth Proportional to 1,281.68, 1,922.82 and 550.85

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Solution

The fourth proportional to 1,281.68, 1,922.82 and 550.85 is: 826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.68 : 1,922.82 = 550.85 : x
  2. Step 2: Convert to fraction form
    1,281.68/1,922.82 = 550.85/x
  3. Step 3: Cross multiply
    1,281.68x = 1,922.82 × 550.85
  4. Step 4: Simplify right side
    1,281.68x = 1,059,185.40
  5. Step 5: Solve for x
    x = 1,059,185.40/1,281.68
  6. Step 6: Final answer
    x = 826.40

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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.