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Finding the Fourth Proportional to 437.21, 650.65 and 422.63

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Solution

The fourth proportional to 437.21, 650.65 and 422.63 is: 628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.21 : 650.65 = 422.63 : x
  2. Step 2: Convert to fraction form
    437.21/650.65 = 422.63/x
  3. Step 3: Cross multiply
    437.21x = 650.65 × 422.63
  4. Step 4: Simplify right side
    437.21x = 274,979.90
  5. Step 5: Solve for x
    x = 274,979.90/437.21
  6. Step 6: Final answer
    x = 628.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.