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Finding the Fourth Proportional to 632.21, 945.88 and 425.80

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Solution

The fourth proportional to 632.21, 945.88 and 425.80 is: 637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.21 : 945.88 = 425.80 : x
  2. Step 2: Convert to fraction form
    632.21/945.88 = 425.80/x
  3. Step 3: Cross multiply
    632.21x = 945.88 × 425.80
  4. Step 4: Simplify right side
    632.21x = 402,755.70
  5. Step 5: Solve for x
    x = 402,755.70/632.21
  6. Step 6: Final answer
    x = 637.06

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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.