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Finding the Fourth Proportional to 603.97, 833.50 and 456.35

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Solution

The fourth proportional to 603.97, 833.50 and 456.35 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.97 : 833.50 = 456.35 : x
  2. Step 2: Convert to fraction form
    603.97/833.50 = 456.35/x
  3. Step 3: Cross multiply
    603.97x = 833.50 × 456.35
  4. Step 4: Simplify right side
    603.97x = 380,367.73
  5. Step 5: Solve for x
    x = 380,367.73/603.97
  6. Step 6: Final answer
    x = 629.78

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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.