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Finding the Fourth Proportional to 483.23, 727.76 and 406.69

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Solution

The fourth proportional to 483.23, 727.76 and 406.69 is: 612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.23 : 727.76 = 406.69 : x
  2. Step 2: Convert to fraction form
    483.23/727.76 = 406.69/x
  3. Step 3: Cross multiply
    483.23x = 727.76 × 406.69
  4. Step 4: Simplify right side
    483.23x = 295,971.91
  5. Step 5: Solve for x
    x = 295,971.91/483.23
  6. Step 6: Final answer
    x = 612.48

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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.