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Finding the Fourth Proportional to 809.43, 1,214.55 and 347.08

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Solution

The fourth proportional to 809.43, 1,214.55 and 347.08 is: 520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.43 : 1,214.55 = 347.08 : x
  2. Step 2: Convert to fraction form
    809.43/1,214.55 = 347.08/x
  3. Step 3: Cross multiply
    809.43x = 1,214.55 × 347.08
  4. Step 4: Simplify right side
    809.43x = 421,538.21
  5. Step 5: Solve for x
    x = 421,538.21/809.43
  6. Step 6: Final answer
    x = 520.79

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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.