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Finding the Fourth Proportional to 629.64, 944.87 and 434.03

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Solution

The fourth proportional to 629.64, 944.87 and 434.03 is: 651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.64 : 944.87 = 434.03 : x
  2. Step 2: Convert to fraction form
    629.64/944.87 = 434.03/x
  3. Step 3: Cross multiply
    629.64x = 944.87 × 434.03
  4. Step 4: Simplify right side
    629.64x = 410,095.03
  5. Step 5: Solve for x
    x = 410,095.03/629.64
  6. Step 6: Final answer
    x = 651.32

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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.