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Finding the Fourth Proportional to 811.77, 1,214.46 and 514.26

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Solution

The fourth proportional to 811.77, 1,214.46 and 514.26 is: 769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.77 : 1,214.46 = 514.26 : x
  2. Step 2: Convert to fraction form
    811.77/1,214.46 = 514.26/x
  3. Step 3: Cross multiply
    811.77x = 1,214.46 × 514.26
  4. Step 4: Simplify right side
    811.77x = 624,548.20
  5. Step 5: Solve for x
    x = 624,548.20/811.77
  6. Step 6: Final answer
    x = 769.37

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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.