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Finding the Fourth Proportional to 824.75, 1,138.07 and 493.10

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Solution

The fourth proportional to 824.75, 1,138.07 and 493.10 is: 680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.75 : 1,138.07 = 493.10 : x
  2. Step 2: Convert to fraction form
    824.75/1,138.07 = 493.10/x
  3. Step 3: Cross multiply
    824.75x = 1,138.07 × 493.10
  4. Step 4: Simplify right side
    824.75x = 561,177.86
  5. Step 5: Solve for x
    x = 561,177.86/824.75
  6. Step 6: Final answer
    x = 680.43

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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.