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Finding the Fourth Proportional to 961.78, 1,442.33 and 336.95

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Solution

The fourth proportional to 961.78, 1,442.33 and 336.95 is: 505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.78 : 1,442.33 = 336.95 : x
  2. Step 2: Convert to fraction form
    961.78/1,442.33 = 336.95/x
  3. Step 3: Cross multiply
    961.78x = 1,442.33 × 336.95
  4. Step 4: Simplify right side
    961.78x = 485,991.41
  5. Step 5: Solve for x
    x = 485,991.41/961.78
  6. Step 6: Final answer
    x = 505.31

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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.