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Finding the Fourth Proportional to 961.92, 1,328.67 and 742.14

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Solution

The fourth proportional to 961.92, 1,328.67 and 742.14 is: 1,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.92 : 1,328.67 = 742.14 : x
  2. Step 2: Convert to fraction form
    961.92/1,328.67 = 742.14/x
  3. Step 3: Cross multiply
    961.92x = 1,328.67 × 742.14
  4. Step 4: Simplify right side
    961.92x = 986,059.15
  5. Step 5: Solve for x
    x = 986,059.15/961.92
  6. Step 6: Final answer
    x = 1,025.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.