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Finding the Fourth Proportional to 892.95, 1,333.02 and 768.21

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Solution

The fourth proportional to 892.95, 1,333.02 and 768.21 is: 1,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.95 : 1,333.02 = 768.21 : x
  2. Step 2: Convert to fraction form
    892.95/1,333.02 = 768.21/x
  3. Step 3: Cross multiply
    892.95x = 1,333.02 × 768.21
  4. Step 4: Simplify right side
    892.95x = 1,024,039.29
  5. Step 5: Solve for x
    x = 1,024,039.29/892.95
  6. Step 6: Final answer
    x = 1,146.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.