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Finding the Fourth Proportional to 629.61, 944.09 and 282.65

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Solution

The fourth proportional to 629.61, 944.09 and 282.65 is: 423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.61 : 944.09 = 282.65 : x
  2. Step 2: Convert to fraction form
    629.61/944.09 = 282.65/x
  3. Step 3: Cross multiply
    629.61x = 944.09 × 282.65
  4. Step 4: Simplify right side
    629.61x = 266,842.55
  5. Step 5: Solve for x
    x = 266,842.55/629.61
  6. Step 6: Final answer
    x = 423.82

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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.