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Finding the Fourth Proportional to 629.92, 942.96 and 459.04

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Solution

The fourth proportional to 629.92, 942.96 and 459.04 is: 687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.92 : 942.96 = 459.04 : x
  2. Step 2: Convert to fraction form
    629.92/942.96 = 459.04/x
  3. Step 3: Cross multiply
    629.92x = 942.96 × 459.04
  4. Step 4: Simplify right side
    629.92x = 432,856.36
  5. Step 5: Solve for x
    x = 432,856.36/629.92
  6. Step 6: Final answer
    x = 687.16

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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.