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Finding the Fourth Proportional to 473.69, 653.78 and 274.49

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Solution

The fourth proportional to 473.69, 653.78 and 274.49 is: 378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.69 : 653.78 = 274.49 : x
  2. Step 2: Convert to fraction form
    473.69/653.78 = 274.49/x
  3. Step 3: Cross multiply
    473.69x = 653.78 × 274.49
  4. Step 4: Simplify right side
    473.69x = 179,456.33
  5. Step 5: Solve for x
    x = 179,456.33/473.69
  6. Step 6: Final answer
    x = 378.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.