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Finding the Fourth Proportional to 1,281.55, 1,922.43 and 550.95

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Solution

The fourth proportional to 1,281.55, 1,922.43 and 550.95 is: 826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.55 : 1,922.43 = 550.95 : x
  2. Step 2: Convert to fraction form
    1,281.55/1,922.43 = 550.95/x
  3. Step 3: Cross multiply
    1,281.55x = 1,922.43 × 550.95
  4. Step 4: Simplify right side
    1,281.55x = 1,059,162.81
  5. Step 5: Solve for x
    x = 1,059,162.81/1,281.55
  6. Step 6: Final answer
    x = 826.47

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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.