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Finding the Fourth Proportional to 847.20, 1,268.27 and 517.15

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Solution

The fourth proportional to 847.20, 1,268.27 and 517.15 is: 774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.20 : 1,268.27 = 517.15 : x
  2. Step 2: Convert to fraction form
    847.20/1,268.27 = 517.15/x
  3. Step 3: Cross multiply
    847.20x = 1,268.27 × 517.15
  4. Step 4: Simplify right side
    847.20x = 655,879.49
  5. Step 5: Solve for x
    x = 655,879.49/847.20
  6. Step 6: Final answer
    x = 774.18

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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.