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Finding the Fourth Proportional to 421.47, 578.41 and 414.27

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Solution

The fourth proportional to 421.47, 578.41 and 414.27 is: 568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.47 : 578.41 = 414.27 : x
  2. Step 2: Convert to fraction form
    421.47/578.41 = 414.27/x
  3. Step 3: Cross multiply
    421.47x = 578.41 × 414.27
  4. Step 4: Simplify right side
    421.47x = 239,616.88
  5. Step 5: Solve for x
    x = 239,616.88/421.47
  6. Step 6: Final answer
    x = 568.53

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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.