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Finding the Fourth Proportional to 629.93, 944.27 and 305.52

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Solution

The fourth proportional to 629.93, 944.27 and 305.52 is: 457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.93 : 944.27 = 305.52 : x
  2. Step 2: Convert to fraction form
    629.93/944.27 = 305.52/x
  3. Step 3: Cross multiply
    629.93x = 944.27 × 305.52
  4. Step 4: Simplify right side
    629.93x = 288,491.84
  5. Step 5: Solve for x
    x = 288,491.84/629.93
  6. Step 6: Final answer
    x = 457.98

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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.