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Finding the Fourth Proportional to 824.14, 1,234.89 and 434.12

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Solution

The fourth proportional to 824.14, 1,234.89 and 434.12 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.14 : 1,234.89 = 434.12 : x
  2. Step 2: Convert to fraction form
    824.14/1,234.89 = 434.12/x
  3. Step 3: Cross multiply
    824.14x = 1,234.89 × 434.12
  4. Step 4: Simplify right side
    824.14x = 536,093.53
  5. Step 5: Solve for x
    x = 536,093.53/824.14
  6. Step 6: Final answer
    x = 650.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.