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Finding the Fourth Proportional to 483.82, 721.86 and 439.98

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Solution

The fourth proportional to 483.82, 721.86 and 439.98 is: 656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.82 : 721.86 = 439.98 : x
  2. Step 2: Convert to fraction form
    483.82/721.86 = 439.98/x
  3. Step 3: Cross multiply
    483.82x = 721.86 × 439.98
  4. Step 4: Simplify right side
    483.82x = 317,606.14
  5. Step 5: Solve for x
    x = 317,606.14/483.82
  6. Step 6: Final answer
    x = 656.45

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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.