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Finding the Fourth Proportional to 430, 646.24 and 422.72

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Solution

The fourth proportional to 430, 646.24 and 422.72 is: 635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430 : 646.24 = 422.72 : x
  2. Step 2: Convert to fraction form
    430/646.24 = 422.72/x
  3. Step 3: Cross multiply
    430x = 646.24 × 422.72
  4. Step 4: Simplify right side
    430x = 273,178.57
  5. Step 5: Solve for x
    x = 273,178.57/430
  6. Step 6: Final answer
    x = 635.30

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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.