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Finding the Fourth Proportional to 629.72, 945.16 and 399.02

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Solution

The fourth proportional to 629.72, 945.16 and 399.02 is: 598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.72 : 945.16 = 399.02 : x
  2. Step 2: Convert to fraction form
    629.72/945.16 = 399.02/x
  3. Step 3: Cross multiply
    629.72x = 945.16 × 399.02
  4. Step 4: Simplify right side
    629.72x = 377,137.74
  5. Step 5: Solve for x
    x = 377,137.74/629.72
  6. Step 6: Final answer
    x = 598.90

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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.