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Finding the Fourth Proportional to 809.62, 1,214.22 and 347.62

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Solution

The fourth proportional to 809.62, 1,214.22 and 347.62 is: 521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.62 : 1,214.22 = 347.62 : x
  2. Step 2: Convert to fraction form
    809.62/1,214.22 = 347.62/x
  3. Step 3: Cross multiply
    809.62x = 1,214.22 × 347.62
  4. Step 4: Simplify right side
    809.62x = 422,087.16
  5. Step 5: Solve for x
    x = 422,087.16/809.62
  6. Step 6: Final answer
    x = 521.34

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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.