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Finding the Fourth Proportional to 492.01, 674.05 and 473.54

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Solution

The fourth proportional to 492.01, 674.05 and 473.54 is: 648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.01 : 674.05 = 473.54 : x
  2. Step 2: Convert to fraction form
    492.01/674.05 = 473.54/x
  3. Step 3: Cross multiply
    492.01x = 674.05 × 473.54
  4. Step 4: Simplify right side
    492.01x = 319,190.14
  5. Step 5: Solve for x
    x = 319,190.14/492.01
  6. Step 6: Final answer
    x = 648.75

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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.