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Finding the Fourth Proportional to 421.88, 582.56 and 408.12

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Solution

The fourth proportional to 421.88, 582.56 and 408.12 is: 563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.88 : 582.56 = 408.12 : x
  2. Step 2: Convert to fraction form
    421.88/582.56 = 408.12/x
  3. Step 3: Cross multiply
    421.88x = 582.56 × 408.12
  4. Step 4: Simplify right side
    421.88x = 237,754.39
  5. Step 5: Solve for x
    x = 237,754.39/421.88
  6. Step 6: Final answer
    x = 563.56

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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.