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Finding the Fourth Proportional to 421.74, 582.39 and 378.54

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Solution

The fourth proportional to 421.74, 582.39 and 378.54 is: 522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.74 : 582.39 = 378.54 : x
  2. Step 2: Convert to fraction form
    421.74/582.39 = 378.54/x
  3. Step 3: Cross multiply
    421.74x = 582.39 × 378.54
  4. Step 4: Simplify right side
    421.74x = 220,457.91
  5. Step 5: Solve for x
    x = 220,457.91/421.74
  6. Step 6: Final answer
    x = 522.73

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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.