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Finding the Fourth Proportional to 824.67, 1,236.82 and 386.23

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Solution

The fourth proportional to 824.67, 1,236.82 and 386.23 is: 579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.67 : 1,236.82 = 386.23 : x
  2. Step 2: Convert to fraction form
    824.67/1,236.82 = 386.23/x
  3. Step 3: Cross multiply
    824.67x = 1,236.82 × 386.23
  4. Step 4: Simplify right side
    824.67x = 477,691.77
  5. Step 5: Solve for x
    x = 477,691.77/824.67
  6. Step 6: Final answer
    x = 579.25

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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.