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Finding the Fourth Proportional to 1,206.10, 1,807.80 and 512.65

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Solution

The fourth proportional to 1,206.10, 1,807.80 and 512.65 is: 768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.10 : 1,807.80 = 512.65 : x
  2. Step 2: Convert to fraction form
    1,206.10/1,807.80 = 512.65/x
  3. Step 3: Cross multiply
    1,206.10x = 1,807.80 × 512.65
  4. Step 4: Simplify right side
    1,206.10x = 926,768.67
  5. Step 5: Solve for x
    x = 926,768.67/1,206.10
  6. Step 6: Final answer
    x = 768.40

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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.