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Finding the Fourth Proportional to 486.43, 723.78 and 484.81

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Solution

The fourth proportional to 486.43, 723.78 and 484.81 is: 721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.43 : 723.78 = 484.81 : x
  2. Step 2: Convert to fraction form
    486.43/723.78 = 484.81/x
  3. Step 3: Cross multiply
    486.43x = 723.78 × 484.81
  4. Step 4: Simplify right side
    486.43x = 350,893.97
  5. Step 5: Solve for x
    x = 350,893.97/486.43
  6. Step 6: Final answer
    x = 721.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.