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Finding the Fourth Proportional to 827.63, 1,240.08 and 553.80

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Solution

The fourth proportional to 827.63, 1,240.08 and 553.80 is: 829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,240.08 = 553.80 : x
  2. Step 2: Convert to fraction form
    827.63/1,240.08 = 553.80/x
  3. Step 3: Cross multiply
    827.63x = 1,240.08 × 553.80
  4. Step 4: Simplify right side
    827.63x = 686,758.88
  5. Step 5: Solve for x
    x = 686,758.88/827.63
  6. Step 6: Final answer
    x = 829.79

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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.