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Finding the Fourth Proportional to 470.75, 649.78 and 274.42

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Solution

The fourth proportional to 470.75, 649.78 and 274.42 is: 378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.75 : 649.78 = 274.42 : x
  2. Step 2: Convert to fraction form
    470.75/649.78 = 274.42/x
  3. Step 3: Cross multiply
    470.75x = 649.78 × 274.42
  4. Step 4: Simplify right side
    470.75x = 178,312.75
  5. Step 5: Solve for x
    x = 178,312.75/470.75
  6. Step 6: Final answer
    x = 378.79

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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.