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Finding the Fourth Proportional to 824.47, 1,235.79 and 385.09

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Solution

The fourth proportional to 824.47, 1,235.79 and 385.09 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.47 : 1,235.79 = 385.09 : x
  2. Step 2: Convert to fraction form
    824.47/1,235.79 = 385.09/x
  3. Step 3: Cross multiply
    824.47x = 1,235.79 × 385.09
  4. Step 4: Simplify right side
    824.47x = 475,890.37
  5. Step 5: Solve for x
    x = 475,890.37/824.47
  6. Step 6: Final answer
    x = 577.21

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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.