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Finding the Fourth Proportional to 603.64, 829.41 and 492.84

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Solution

The fourth proportional to 603.64, 829.41 and 492.84 is: 677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.64 : 829.41 = 492.84 : x
  2. Step 2: Convert to fraction form
    603.64/829.41 = 492.84/x
  3. Step 3: Cross multiply
    603.64x = 829.41 × 492.84
  4. Step 4: Simplify right side
    603.64x = 408,766.42
  5. Step 5: Solve for x
    x = 408,766.42/603.64
  6. Step 6: Final answer
    x = 677.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.