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Finding the Fourth Proportional to 481.57, 726.21 and 475.07

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Solution

The fourth proportional to 481.57, 726.21 and 475.07 is: 716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.57 : 726.21 = 475.07 : x
  2. Step 2: Convert to fraction form
    481.57/726.21 = 475.07/x
  3. Step 3: Cross multiply
    481.57x = 726.21 × 475.07
  4. Step 4: Simplify right side
    481.57x = 344,996.95
  5. Step 5: Solve for x
    x = 344,996.95/481.57
  6. Step 6: Final answer
    x = 716.40

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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.