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Finding the Fourth Proportional to 824.05, 1,234.05 and 476.56

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Solution

The fourth proportional to 824.05, 1,234.05 and 476.56 is: 713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.05 : 1,234.05 = 476.56 : x
  2. Step 2: Convert to fraction form
    824.05/1,234.05 = 476.56/x
  3. Step 3: Cross multiply
    824.05x = 1,234.05 × 476.56
  4. Step 4: Simplify right side
    824.05x = 588,098.87
  5. Step 5: Solve for x
    x = 588,098.87/824.05
  6. Step 6: Final answer
    x = 713.67

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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.