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Finding the Fourth Proportional to 847.27, 1,267.89 and 518.09

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Solution

The fourth proportional to 847.27, 1,267.89 and 518.09 is: 775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.27 : 1,267.89 = 518.09 : x
  2. Step 2: Convert to fraction form
    847.27/1,267.89 = 518.09/x
  3. Step 3: Cross multiply
    847.27x = 1,267.89 × 518.09
  4. Step 4: Simplify right side
    847.27x = 656,881.13
  5. Step 5: Solve for x
    x = 656,881.13/847.27
  6. Step 6: Final answer
    x = 775.30

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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.