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Finding the Fourth Proportional to 1,205.30, 1,807.80 and 512.09

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Solution

The fourth proportional to 1,205.30, 1,807.80 and 512.09 is: 768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.30 : 1,807.80 = 512.09 : x
  2. Step 2: Convert to fraction form
    1,205.30/1,807.80 = 512.09/x
  3. Step 3: Cross multiply
    1,205.30x = 1,807.80 × 512.09
  4. Step 4: Simplify right side
    1,205.30x = 925,756.30
  5. Step 5: Solve for x
    x = 925,756.30/1,205.30
  6. Step 6: Final answer
    x = 768.07

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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.