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Finding the Fourth Proportional to 824.02, 1,138.59 and 676.54

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Solution

The fourth proportional to 824.02, 1,138.59 and 676.54 is: 934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.02 : 1,138.59 = 676.54 : x
  2. Step 2: Convert to fraction form
    824.02/1,138.59 = 676.54/x
  3. Step 3: Cross multiply
    824.02x = 1,138.59 × 676.54
  4. Step 4: Simplify right side
    824.02x = 770,301.68
  5. Step 5: Solve for x
    x = 770,301.68/824.02
  6. Step 6: Final answer
    x = 934.81

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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.