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Finding the Fourth Proportional to 470.45, 649.09 and 283.85

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Solution

The fourth proportional to 470.45, 649.09 and 283.85 is: 391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.45 : 649.09 = 283.85 : x
  2. Step 2: Convert to fraction form
    470.45/649.09 = 283.85/x
  3. Step 3: Cross multiply
    470.45x = 649.09 × 283.85
  4. Step 4: Simplify right side
    470.45x = 184,245.11
  5. Step 5: Solve for x
    x = 184,245.11/470.45
  6. Step 6: Final answer
    x = 391.63

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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.