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Finding the Fourth Proportional to 421.74, 582.18 and 397.44

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Solution

The fourth proportional to 421.74, 582.18 and 397.44 is: 548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.74 : 582.18 = 397.44 : x
  2. Step 2: Convert to fraction form
    421.74/582.18 = 397.44/x
  3. Step 3: Cross multiply
    421.74x = 582.18 × 397.44
  4. Step 4: Simplify right side
    421.74x = 231,381.62
  5. Step 5: Solve for x
    x = 231,381.62/421.74
  6. Step 6: Final answer
    x = 548.64

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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.