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Finding the Fourth Proportional to 721.38, 1,082.48 and 304.88

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Solution

The fourth proportional to 721.38, 1,082.48 and 304.88 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.38 : 1,082.48 = 304.88 : x
  2. Step 2: Convert to fraction form
    721.38/1,082.48 = 304.88/x
  3. Step 3: Cross multiply
    721.38x = 1,082.48 × 304.88
  4. Step 4: Simplify right side
    721.38x = 330,026.50
  5. Step 5: Solve for x
    x = 330,026.50/721.38
  6. Step 6: Final answer
    x = 457.49

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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.