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Finding the Fourth Proportional to 481.15, 664.64 and 428.91

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Solution

The fourth proportional to 481.15, 664.64 and 428.91 is: 592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.15 : 664.64 = 428.91 : x
  2. Step 2: Convert to fraction form
    481.15/664.64 = 428.91/x
  3. Step 3: Cross multiply
    481.15x = 664.64 × 428.91
  4. Step 4: Simplify right side
    481.15x = 285,070.74
  5. Step 5: Solve for x
    x = 285,070.74/481.15
  6. Step 6: Final answer
    x = 592.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.