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Finding the Fourth Proportional to 434.26, 651.40 and 422.72

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Solution

The fourth proportional to 434.26, 651.40 and 422.72 is: 634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 651.40 = 422.72 : x
  2. Step 2: Convert to fraction form
    434.26/651.40 = 422.72/x
  3. Step 3: Cross multiply
    434.26x = 651.40 × 422.72
  4. Step 4: Simplify right side
    434.26x = 275,359.81
  5. Step 5: Solve for x
    x = 275,359.81/434.26
  6. Step 6: Final answer
    x = 634.09

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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.