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Finding the Fourth Proportional to 807.13, 1,212.72 and 514.75

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Solution

The fourth proportional to 807.13, 1,212.72 and 514.75 is: 773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.13 : 1,212.72 = 514.75 : x
  2. Step 2: Convert to fraction form
    807.13/1,212.72 = 514.75/x
  3. Step 3: Cross multiply
    807.13x = 1,212.72 × 514.75
  4. Step 4: Simplify right side
    807.13x = 624,247.62
  5. Step 5: Solve for x
    x = 624,247.62/807.13
  6. Step 6: Final answer
    x = 773.42

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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.