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Finding the Fourth Proportional to 492.04, 674.20 and 484.75

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Solution

The fourth proportional to 492.04, 674.20 and 484.75 is: 664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.04 : 674.20 = 484.75 : x
  2. Step 2: Convert to fraction form
    492.04/674.20 = 484.75/x
  3. Step 3: Cross multiply
    492.04x = 674.20 × 484.75
  4. Step 4: Simplify right side
    492.04x = 326,818.54
  5. Step 5: Solve for x
    x = 326,818.54/492.04
  6. Step 6: Final answer
    x = 664.21

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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.