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Finding the Fourth Proportional to 824.28, 1,236.71 and 385.77

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Solution

The fourth proportional to 824.28, 1,236.71 and 385.77 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.28 : 1,236.71 = 385.77 : x
  2. Step 2: Convert to fraction form
    824.28/1,236.71 = 385.77/x
  3. Step 3: Cross multiply
    824.28x = 1,236.71 × 385.77
  4. Step 4: Simplify right side
    824.28x = 477,085.62
  5. Step 5: Solve for x
    x = 477,085.62/824.28
  6. Step 6: Final answer
    x = 578.79

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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.