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Finding the Fourth Proportional to 811.02, 1,216.56 and 768.90

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Solution

The fourth proportional to 811.02, 1,216.56 and 768.90 is: 1,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.02 : 1,216.56 = 768.90 : x
  2. Step 2: Convert to fraction form
    811.02/1,216.56 = 768.90/x
  3. Step 3: Cross multiply
    811.02x = 1,216.56 × 768.90
  4. Step 4: Simplify right side
    811.02x = 935,412.98
  5. Step 5: Solve for x
    x = 935,412.98/811.02
  6. Step 6: Final answer
    x = 1,153.38

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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.