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Finding the Fourth Proportional to 721.66, 1,082.82 and 310.91

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Solution

The fourth proportional to 721.66, 1,082.82 and 310.91 is: 466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.66 : 1,082.82 = 310.91 : x
  2. Step 2: Convert to fraction form
    721.66/1,082.82 = 310.91/x
  3. Step 3: Cross multiply
    721.66x = 1,082.82 × 310.91
  4. Step 4: Simplify right side
    721.66x = 336,653.57
  5. Step 5: Solve for x
    x = 336,653.57/721.66
  6. Step 6: Final answer
    x = 466.50

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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.