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Finding the Fourth Proportional to 603.92, 832.68 and 456.80

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Solution

The fourth proportional to 603.92, 832.68 and 456.80 is: 629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.92 : 832.68 = 456.80 : x
  2. Step 2: Convert to fraction form
    603.92/832.68 = 456.80/x
  3. Step 3: Cross multiply
    603.92x = 832.68 × 456.80
  4. Step 4: Simplify right side
    603.92x = 380,368.22
  5. Step 5: Solve for x
    x = 380,368.22/603.92
  6. Step 6: Final answer
    x = 629.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.