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Finding the Fourth Proportional to 629.87, 945.06 and 283.11

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Solution

The fourth proportional to 629.87, 945.06 and 283.11 is: 424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.87 : 945.06 = 283.11 : x
  2. Step 2: Convert to fraction form
    629.87/945.06 = 283.11/x
  3. Step 3: Cross multiply
    629.87x = 945.06 × 283.11
  4. Step 4: Simplify right side
    629.87x = 267,558.30
  5. Step 5: Solve for x
    x = 267,558.30/629.87
  6. Step 6: Final answer
    x = 424.79

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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.