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Finding the Fourth Proportional to 1,206.44, 1,808.02 and 512.24

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Solution

The fourth proportional to 1,206.44, 1,808.02 and 512.24 is: 767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.44 : 1,808.02 = 512.24 : x
  2. Step 2: Convert to fraction form
    1,206.44/1,808.02 = 512.24/x
  3. Step 3: Cross multiply
    1,206.44x = 1,808.02 × 512.24
  4. Step 4: Simplify right side
    1,206.44x = 926,131.76
  5. Step 5: Solve for x
    x = 926,131.76/1,206.44
  6. Step 6: Final answer
    x = 767.66

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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.