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Finding the Fourth Proportional to 721.15, 1,082.14 and 304.65

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Solution

The fourth proportional to 721.15, 1,082.14 and 304.65 is: 457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.15 : 1,082.14 = 304.65 : x
  2. Step 2: Convert to fraction form
    721.15/1,082.14 = 304.65/x
  3. Step 3: Cross multiply
    721.15x = 1,082.14 × 304.65
  4. Step 4: Simplify right side
    721.15x = 329,673.95
  5. Step 5: Solve for x
    x = 329,673.95/721.15
  6. Step 6: Final answer
    x = 457.15

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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.