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Finding the Fourth Proportional to 824.59, 1,236.20 and 642.79

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Solution

The fourth proportional to 824.59, 1,236.20 and 642.79 is: 963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.59 : 1,236.20 = 642.79 : x
  2. Step 2: Convert to fraction form
    824.59/1,236.20 = 642.79/x
  3. Step 3: Cross multiply
    824.59x = 1,236.20 × 642.79
  4. Step 4: Simplify right side
    824.59x = 794,615.33
  5. Step 5: Solve for x
    x = 794,615.33/824.59
  6. Step 6: Final answer
    x = 963.65

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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.