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Finding the Fourth Proportional to 961.29, 1,440.93 and 311.58

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Solution

The fourth proportional to 961.29, 1,440.93 and 311.58 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.29 : 1,440.93 = 311.58 : x
  2. Step 2: Convert to fraction form
    961.29/1,440.93 = 311.58/x
  3. Step 3: Cross multiply
    961.29x = 1,440.93 × 311.58
  4. Step 4: Simplify right side
    961.29x = 448,964.97
  5. Step 5: Solve for x
    x = 448,964.97/961.29
  6. Step 6: Final answer
    x = 467.04

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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.