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Finding the Fourth Proportional to 603.92, 830.66 and 490.59

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Solution

The fourth proportional to 603.92, 830.66 and 490.59 is: 674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.92 : 830.66 = 490.59 : x
  2. Step 2: Convert to fraction form
    603.92/830.66 = 490.59/x
  3. Step 3: Cross multiply
    603.92x = 830.66 × 490.59
  4. Step 4: Simplify right side
    603.92x = 407,511.04
  5. Step 5: Solve for x
    x = 407,511.04/603.92
  6. Step 6: Final answer
    x = 674.77

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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.