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Finding the Fourth Proportional to 827.80, 1,239.92 and 622.06

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Solution

The fourth proportional to 827.80, 1,239.92 and 622.06 is: 931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.80 : 1,239.92 = 622.06 : x
  2. Step 2: Convert to fraction form
    827.80/1,239.92 = 622.06/x
  3. Step 3: Cross multiply
    827.80x = 1,239.92 × 622.06
  4. Step 4: Simplify right side
    827.80x = 771,304.64
  5. Step 5: Solve for x
    x = 771,304.64/827.80
  6. Step 6: Final answer
    x = 931.75

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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.