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Finding the Fourth Proportional to 481.43, 661.92 and 428.47

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Solution

The fourth proportional to 481.43, 661.92 and 428.47 is: 589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.43 : 661.92 = 428.47 : x
  2. Step 2: Convert to fraction form
    481.43/661.92 = 428.47/x
  3. Step 3: Cross multiply
    481.43x = 661.92 × 428.47
  4. Step 4: Simplify right side
    481.43x = 283,612.86
  5. Step 5: Solve for x
    x = 283,612.86/481.43
  6. Step 6: Final answer
    x = 589.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.