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Finding the Fourth Proportional to 470.89, 649.96 and 284.34

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Solution

The fourth proportional to 470.89, 649.96 and 284.34 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.89 : 649.96 = 284.34 : x
  2. Step 2: Convert to fraction form
    470.89/649.96 = 284.34/x
  3. Step 3: Cross multiply
    470.89x = 649.96 × 284.34
  4. Step 4: Simplify right side
    470.89x = 184,811.35
  5. Step 5: Solve for x
    x = 184,811.35/470.89
  6. Step 6: Final answer
    x = 392.48

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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.