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Finding the Fourth Proportional to 629.40, 944.10 and 305.40

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Solution

The fourth proportional to 629.40, 944.10 and 305.40 is: 458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.40 : 944.10 = 305.40 : x
  2. Step 2: Convert to fraction form
    629.40/944.10 = 305.40/x
  3. Step 3: Cross multiply
    629.40x = 944.10 × 305.40
  4. Step 4: Simplify right side
    629.40x = 288,328.14
  5. Step 5: Solve for x
    x = 288,328.14/629.40
  6. Step 6: Final answer
    x = 458.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.