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Finding the Fourth Proportional to 425.04, 634.98 and 422.64

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Solution

The fourth proportional to 425.04, 634.98 and 422.64 is: 631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.04 : 634.98 = 422.64 : x
  2. Step 2: Convert to fraction form
    425.04/634.98 = 422.64/x
  3. Step 3: Cross multiply
    425.04x = 634.98 × 422.64
  4. Step 4: Simplify right side
    425.04x = 268,367.95
  5. Step 5: Solve for x
    x = 268,367.95/425.04
  6. Step 6: Final answer
    x = 631.39

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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.