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Finding the Fourth Proportional to 421.26, 576.17 and 414.54

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Solution

The fourth proportional to 421.26, 576.17 and 414.54 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.26 : 576.17 = 414.54 : x
  2. Step 2: Convert to fraction form
    421.26/576.17 = 414.54/x
  3. Step 3: Cross multiply
    421.26x = 576.17 × 414.54
  4. Step 4: Simplify right side
    421.26x = 238,845.51
  5. Step 5: Solve for x
    x = 238,845.51/421.26
  6. Step 6: Final answer
    x = 566.98

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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.