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Finding the Fourth Proportional to 1,206, 1,809.09 and 340.34

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Solution

The fourth proportional to 1,206, 1,809.09 and 340.34 is: 510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206 : 1,809.09 = 340.34 : x
  2. Step 2: Convert to fraction form
    1,206/1,809.09 = 340.34/x
  3. Step 3: Cross multiply
    1,206x = 1,809.09 × 340.34
  4. Step 4: Simplify right side
    1,206x = 615,696.65
  5. Step 5: Solve for x
    x = 615,696.65/1,206
  6. Step 6: Final answer
    x = 510.53

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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.