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Finding the Fourth Proportional to 629.46, 869.28 and 443.25

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Solution

The fourth proportional to 629.46, 869.28 and 443.25 is: 612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.46 : 869.28 = 443.25 : x
  2. Step 2: Convert to fraction form
    629.46/869.28 = 443.25/x
  3. Step 3: Cross multiply
    629.46x = 869.28 × 443.25
  4. Step 4: Simplify right side
    629.46x = 385,308.36
  5. Step 5: Solve for x
    x = 385,308.36/629.46
  6. Step 6: Final answer
    x = 612.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.