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Finding the Fourth Proportional to 481.06, 725.19 and 440.06

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Solution

The fourth proportional to 481.06, 725.19 and 440.06 is: 663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.06 : 725.19 = 440.06 : x
  2. Step 2: Convert to fraction form
    481.06/725.19 = 440.06/x
  3. Step 3: Cross multiply
    481.06x = 725.19 × 440.06
  4. Step 4: Simplify right side
    481.06x = 319,127.11
  5. Step 5: Solve for x
    x = 319,127.11/481.06
  6. Step 6: Final answer
    x = 663.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.