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Finding the Fourth Proportional to 824.12, 1,137.46 and 492.74

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Solution

The fourth proportional to 824.12, 1,137.46 and 492.74 is: 680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.12 : 1,137.46 = 492.74 : x
  2. Step 2: Convert to fraction form
    824.12/1,137.46 = 492.74/x
  3. Step 3: Cross multiply
    824.12x = 1,137.46 × 492.74
  4. Step 4: Simplify right side
    824.12x = 560,472.04
  5. Step 5: Solve for x
    x = 560,472.04/824.12
  6. Step 6: Final answer
    x = 680.09

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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.