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Finding the Fourth Proportional to 481.98, 721.38 and 438.51

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Solution

The fourth proportional to 481.98, 721.38 and 438.51 is: 656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.98 : 721.38 = 438.51 : x
  2. Step 2: Convert to fraction form
    481.98/721.38 = 438.51/x
  3. Step 3: Cross multiply
    481.98x = 721.38 × 438.51
  4. Step 4: Simplify right side
    481.98x = 316,332.34
  5. Step 5: Solve for x
    x = 316,332.34/481.98
  6. Step 6: Final answer
    x = 656.32

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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.