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Finding the Fourth Proportional to 481.10, 724.67 and 438.04

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Solution

The fourth proportional to 481.10, 724.67 and 438.04 is: 659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.10 : 724.67 = 438.04 : x
  2. Step 2: Convert to fraction form
    481.10/724.67 = 438.04/x
  3. Step 3: Cross multiply
    481.10x = 724.67 × 438.04
  4. Step 4: Simplify right side
    481.10x = 317,430.82
  5. Step 5: Solve for x
    x = 317,430.82/481.10
  6. Step 6: Final answer
    x = 659.81

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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.