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Finding the Fourth Proportional to 1,704.94, 2,553.88 and 824.85

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Solution

The fourth proportional to 1,704.94, 2,553.88 and 824.85 is: 1,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.94 : 2,553.88 = 824.85 : x
  2. Step 2: Convert to fraction form
    1,704.94/2,553.88 = 824.85/x
  3. Step 3: Cross multiply
    1,704.94x = 2,553.88 × 824.85
  4. Step 4: Simplify right side
    1,704.94x = 2,106,567.92
  5. Step 5: Solve for x
    x = 2,106,567.92/1,704.94
  6. Step 6: Final answer
    x = 1,235.57

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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.