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Finding the Fourth Proportional to 824.82, 1,230.02 and 806.28

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Solution

The fourth proportional to 824.82, 1,230.02 and 806.28 is: 1,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.82 : 1,230.02 = 806.28 : x
  2. Step 2: Convert to fraction form
    824.82/1,230.02 = 806.28/x
  3. Step 3: Cross multiply
    824.82x = 1,230.02 × 806.28
  4. Step 4: Simplify right side
    824.82x = 991,736.49
  5. Step 5: Solve for x
    x = 991,736.49/824.82
  6. Step 6: Final answer
    x = 1,202.37

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1.5x scale

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.