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Finding the Fourth Proportional to 458.41, 684.26 and 393.82

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Solution

The fourth proportional to 458.41, 684.26 and 393.82 is: 587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.41 : 684.26 = 393.82 : x
  2. Step 2: Convert to fraction form
    458.41/684.26 = 393.82/x
  3. Step 3: Cross multiply
    458.41x = 684.26 × 393.82
  4. Step 4: Simplify right side
    458.41x = 269,478.44
  5. Step 5: Solve for x
    x = 269,478.44/458.41
  6. Step 6: Final answer
    x = 587.86

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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.