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Finding the Fourth Proportional to 892.96, 1,229.32 and 768.12

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Solution

The fourth proportional to 892.96, 1,229.32 and 768.12 is: 1,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.96 : 1,229.32 = 768.12 : x
  2. Step 2: Convert to fraction form
    892.96/1,229.32 = 768.12/x
  3. Step 3: Cross multiply
    892.96x = 1,229.32 × 768.12
  4. Step 4: Simplify right side
    892.96x = 944,264.22
  5. Step 5: Solve for x
    x = 944,264.22/892.96
  6. Step 6: Final answer
    x = 1,057.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.