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Finding the Fourth Proportional to 426.48, 584.70 and 394.32

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Solution

The fourth proportional to 426.48, 584.70 and 394.32 is: 540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.48 : 584.70 = 394.32 : x
  2. Step 2: Convert to fraction form
    426.48/584.70 = 394.32/x
  3. Step 3: Cross multiply
    426.48x = 584.70 × 394.32
  4. Step 4: Simplify right side
    426.48x = 230,558.90
  5. Step 5: Solve for x
    x = 230,558.90/426.48
  6. Step 6: Final answer
    x = 540.61

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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.