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Finding the Fourth Proportional to 470.30, 703.83 and 396.86

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Solution

The fourth proportional to 470.30, 703.83 and 396.86 is: 593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.30 : 703.83 = 396.86 : x
  2. Step 2: Convert to fraction form
    470.30/703.83 = 396.86/x
  3. Step 3: Cross multiply
    470.30x = 703.83 × 396.86
  4. Step 4: Simplify right side
    470.30x = 279,321.97
  5. Step 5: Solve for x
    x = 279,321.97/470.30
  6. Step 6: Final answer
    x = 593.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.