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Finding the Fourth Proportional to 824.32, 1,138.24 and 513.92

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Solution

The fourth proportional to 824.32, 1,138.24 and 513.92 is: 709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.32 : 1,138.24 = 513.92 : x
  2. Step 2: Convert to fraction form
    824.32/1,138.24 = 513.92/x
  3. Step 3: Cross multiply
    824.32x = 1,138.24 × 513.92
  4. Step 4: Simplify right side
    824.32x = 584,964.30
  5. Step 5: Solve for x
    x = 584,964.30/824.32
  6. Step 6: Final answer
    x = 709.63

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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.