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Finding the Fourth Proportional to 824.83, 1,138.26 and 488.73

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Solution

The fourth proportional to 824.83, 1,138.26 and 488.73 is: 674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.83 : 1,138.26 = 488.73 : x
  2. Step 2: Convert to fraction form
    824.83/1,138.26 = 488.73/x
  3. Step 3: Cross multiply
    824.83x = 1,138.26 × 488.73
  4. Step 4: Simplify right side
    824.83x = 556,301.81
  5. Step 5: Solve for x
    x = 556,301.81/824.83
  6. Step 6: Final answer
    x = 674.44

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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.