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Finding the Fourth Proportional to 827.14, 1,239.07 and 621.94

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Solution

The fourth proportional to 827.14, 1,239.07 and 621.94 is: 931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.14 : 1,239.07 = 621.94 : x
  2. Step 2: Convert to fraction form
    827.14/1,239.07 = 621.94/x
  3. Step 3: Cross multiply
    827.14x = 1,239.07 × 621.94
  4. Step 4: Simplify right side
    827.14x = 770,627.20
  5. Step 5: Solve for x
    x = 770,627.20/827.14
  6. Step 6: Final answer
    x = 931.68

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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.