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Finding the Fourth Proportional to 492.25, 674.39 and 473.80

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Solution

The fourth proportional to 492.25, 674.39 and 473.80 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.25 : 674.39 = 473.80 : x
  2. Step 2: Convert to fraction form
    492.25/674.39 = 473.80/x
  3. Step 3: Cross multiply
    492.25x = 674.39 × 473.80
  4. Step 4: Simplify right side
    492.25x = 319,525.98
  5. Step 5: Solve for x
    x = 319,525.98/492.25
  6. Step 6: Final answer
    x = 649.11

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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.