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Finding the Fourth Proportional to 721.58, 1,082 and 282.49

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Solution

The fourth proportional to 721.58, 1,082 and 282.49 is: 423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.58 : 1,082 = 282.49 : x
  2. Step 2: Convert to fraction form
    721.58/1,082 = 282.49/x
  3. Step 3: Cross multiply
    721.58x = 1,082 × 282.49
  4. Step 4: Simplify right side
    721.58x = 305,654.18
  5. Step 5: Solve for x
    x = 305,654.18/721.58
  6. Step 6: Final answer
    x = 423.59

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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.