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Finding the Fourth Proportional to 824.07, 1,236.71 and 391.22

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Solution

The fourth proportional to 824.07, 1,236.71 and 391.22 is: 587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.07 : 1,236.71 = 391.22 : x
  2. Step 2: Convert to fraction form
    824.07/1,236.71 = 391.22/x
  3. Step 3: Cross multiply
    824.07x = 1,236.71 × 391.22
  4. Step 4: Simplify right side
    824.07x = 483,825.69
  5. Step 5: Solve for x
    x = 483,825.69/824.07
  6. Step 6: Final answer
    x = 587.12

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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.