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Finding the Fourth Proportional to 483.82, 721.13 and 456.48

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Solution

The fourth proportional to 483.82, 721.13 and 456.48 is: 680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.82 : 721.13 = 456.48 : x
  2. Step 2: Convert to fraction form
    483.82/721.13 = 456.48/x
  3. Step 3: Cross multiply
    483.82x = 721.13 × 456.48
  4. Step 4: Simplify right side
    483.82x = 329,179.14
  5. Step 5: Solve for x
    x = 329,179.14/483.82
  6. Step 6: Final answer
    x = 680.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.