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Finding the Fourth Proportional to 492.38, 674.56 and 473.92

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Solution

The fourth proportional to 492.38, 674.56 and 473.92 is: 649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.38 : 674.56 = 473.92 : x
  2. Step 2: Convert to fraction form
    492.38/674.56 = 473.92/x
  3. Step 3: Cross multiply
    492.38x = 674.56 × 473.92
  4. Step 4: Simplify right side
    492.38x = 319,686.38
  5. Step 5: Solve for x
    x = 319,686.38/492.38
  6. Step 6: Final answer
    x = 649.26

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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.