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Finding the Fourth Proportional to 961.54, 1,440.69 and 730.15

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Solution

The fourth proportional to 961.54, 1,440.69 and 730.15 is: 1,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.54 : 1,440.69 = 730.15 : x
  2. Step 2: Convert to fraction form
    961.54/1,440.69 = 730.15/x
  3. Step 3: Cross multiply
    961.54x = 1,440.69 × 730.15
  4. Step 4: Simplify right side
    961.54x = 1,051,919.80
  5. Step 5: Solve for x
    x = 1,051,919.80/961.54
  6. Step 6: Final answer
    x = 1,093.99

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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.