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Finding the Fourth Proportional to 470.62, 706.77 and 326.62

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Solution

The fourth proportional to 470.62, 706.77 and 326.62 is: 490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.62 : 706.77 = 326.62 : x
  2. Step 2: Convert to fraction form
    470.62/706.77 = 326.62/x
  3. Step 3: Cross multiply
    470.62x = 706.77 × 326.62
  4. Step 4: Simplify right side
    470.62x = 230,845.22
  5. Step 5: Solve for x
    x = 230,845.22/470.62
  6. Step 6: Final answer
    x = 490.51

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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.