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Finding the Fourth Proportional to 665.41, 997.03 and 481.95

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Solution

The fourth proportional to 665.41, 997.03 and 481.95 is: 722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.41 : 997.03 = 481.95 : x
  2. Step 2: Convert to fraction form
    665.41/997.03 = 481.95/x
  3. Step 3: Cross multiply
    665.41x = 997.03 × 481.95
  4. Step 4: Simplify right side
    665.41x = 480,518.61
  5. Step 5: Solve for x
    x = 480,518.61/665.41
  6. Step 6: Final answer
    x = 722.14

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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.