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Finding the Fourth Proportional to 422.14, 632.23 and 407.54

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Solution

The fourth proportional to 422.14, 632.23 and 407.54 is: 610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.14 : 632.23 = 407.54 : x
  2. Step 2: Convert to fraction form
    422.14/632.23 = 407.54/x
  3. Step 3: Cross multiply
    422.14x = 632.23 × 407.54
  4. Step 4: Simplify right side
    422.14x = 257,656.98
  5. Step 5: Solve for x
    x = 257,656.98/422.14
  6. Step 6: Final answer
    x = 610.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.