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Finding the Fourth Proportional to 961.56, 1,442.33 and 550.95

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Solution

The fourth proportional to 961.56, 1,442.33 and 550.95 is: 826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.56 : 1,442.33 = 550.95 : x
  2. Step 2: Convert to fraction form
    961.56/1,442.33 = 550.95/x
  3. Step 3: Cross multiply
    961.56x = 1,442.33 × 550.95
  4. Step 4: Simplify right side
    961.56x = 794,656.70
  5. Step 5: Solve for x
    x = 794,656.70/961.56
  6. Step 6: Final answer
    x = 826.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.