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Finding the Fourth Proportional to 824.72, 1,138.09 and 493.07

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Solution

The fourth proportional to 824.72, 1,138.09 and 493.07 is: 680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.72 : 1,138.09 = 493.07 : x
  2. Step 2: Convert to fraction form
    824.72/1,138.09 = 493.07/x
  3. Step 3: Cross multiply
    824.72x = 1,138.09 × 493.07
  4. Step 4: Simplify right side
    824.72x = 561,158.04
  5. Step 5: Solve for x
    x = 561,158.04/824.72
  6. Step 6: Final answer
    x = 680.42

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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.