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Finding the Fourth Proportional to 809.49, 1,214.49 and 341.18

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Solution

The fourth proportional to 809.49, 1,214.49 and 341.18 is: 511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.49 : 1,214.49 = 341.18 : x
  2. Step 2: Convert to fraction form
    809.49/1,214.49 = 341.18/x
  3. Step 3: Cross multiply
    809.49x = 1,214.49 × 341.18
  4. Step 4: Simplify right side
    809.49x = 414,359.46
  5. Step 5: Solve for x
    x = 414,359.46/809.49
  6. Step 6: Final answer
    x = 511.87

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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.