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Finding the Fourth Proportional to 961.93, 1,440.08 and 731.72

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Solution

The fourth proportional to 961.93, 1,440.08 and 731.72 is: 1,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.93 : 1,440.08 = 731.72 : x
  2. Step 2: Convert to fraction form
    961.93/1,440.08 = 731.72/x
  3. Step 3: Cross multiply
    961.93x = 1,440.08 × 731.72
  4. Step 4: Simplify right side
    961.93x = 1,053,735.34
  5. Step 5: Solve for x
    x = 1,053,735.34/961.93
  6. Step 6: Final answer
    x = 1,095.44

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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.