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Finding the Fourth Proportional to 1,207.56, 1,809.81 and 513.42

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Solution

The fourth proportional to 1,207.56, 1,809.81 and 513.42 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.56 : 1,809.81 = 513.42 : x
  2. Step 2: Convert to fraction form
    1,207.56/1,809.81 = 513.42/x
  3. Step 3: Cross multiply
    1,207.56x = 1,809.81 × 513.42
  4. Step 4: Simplify right side
    1,207.56x = 929,192.65
  5. Step 5: Solve for x
    x = 929,192.65/1,207.56
  6. Step 6: Final answer
    x = 769.48

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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.